Atkin-Lehner |
2+ 3+ 7- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
98406a |
Isogeny class |
Conductor |
98406 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-12834184521312 = -1 · 25 · 33 · 73 · 112 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96612,11583792] |
[a1,a2,a3,a4,a6] |
Generators |
[1422:-249:8] |
Generators of the group modulo torsion |
j |
-3693649609563334875/475340167456 |
j-invariant |
L |
5.7935498733894 |
L(r)(E,1)/r! |
Ω |
0.68379248520837 |
Real period |
R |
2.1181681531032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019661 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98406h2 |
Quadratic twists by: -3 |