Atkin-Lehner |
2+ 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672h |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-75491886413749248 = -1 · 210 · 38 · 233 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -6 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32691,13413634] |
[a1,a2,a3,a4,a6] |
Generators |
[89:3348:1] |
Generators of the group modulo torsion |
j |
-5175840017092/101128320063 |
j-invariant |
L |
5.5730333080617 |
L(r)(E,1)/r! |
Ω |
0.28981370906087 |
Real period |
R |
1.2018568207912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999644073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51336r1 34224n1 |
Quadratic twists by: -4 -3 |