Atkin-Lehner |
3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975s |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
532480 |
Modular degree for the optimal curve |
Δ |
7100691149953125 = 319 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 -2 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-118650,-15199344] |
[a1,a2,a3,a4,a6] |
Generators |
[1910:82012:1] |
Generators of the group modulo torsion |
j |
16217331171328/623380293 |
j-invariant |
L |
2.8358544094961 |
L(r)(E,1)/r! |
Ω |
0.25784550053097 |
Real period |
R |
1.3747837459519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999461245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29325p1 3519c1 |
Quadratic twists by: -3 5 |