Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bl |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4199040 |
Modular degree for the optimal curve |
Δ |
-125900656128000 = -1 · 212 · 39 · 53 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60379701,-180566071299] |
[a1,a2,a3,a4,a6] |
Generators |
[227838951077036523836899705523636445256977963827560592365356:61113917511768707972040872650047843014410088086564461393045403:3129087596095627886868394199931021720393028676257745607] |
Generators of the group modulo torsion |
j |
-5943423068131740751396864/30737464875 |
j-invariant |
L |
5.0472574629304 |
L(r)(E,1)/r! |
Ω |
0.027079885199323 |
Real period |
R |
93.192002583835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045h1 |
Quadratic twists by: -4 |