Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394g |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
-1625895044978346 = -1 · 2 · 311 · 236 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 -3 3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44182,4048678] |
[a1,a2,a3,a4,a6] |
Generators |
[702:7055:8] |
Generators of the group modulo torsion |
j |
-64432972729/10983114 |
j-invariant |
L |
3.105385739724 |
L(r)(E,1)/r! |
Ω |
0.45652543584196 |
Real period |
R |
3.401109205293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
186a1 |
Quadratic twists by: -23 |