Atkin-Lehner |
2- 7+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
87542d |
Isogeny class |
Conductor |
87542 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-216344838900736 = -1 · 210 · 7 · 138 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -5 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13319,384921] |
[a1,a2,a3,a4,a6] |
Generators |
[127:-2092:1] |
Generators of the group modulo torsion |
j |
320348223/265216 |
j-invariant |
L |
5.3052737976223 |
L(r)(E,1)/r! |
Ω |
0.36283854272217 |
Real period |
R |
0.48738609460841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87542b1 |
Quadratic twists by: 13 |