Atkin-Lehner |
3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475bd |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-122653409924511675 = -1 · 315 · 52 · 112 · 414 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 11+ -3 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-454800,-119249924] |
[a1,a2,a3,a4,a6] |
j |
-570844134768640000/6729953905323 |
j-invariant |
L |
1.4697027349002 |
L(r)(E,1)/r! |
Ω |
0.091856418024594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825h1 101475bx1 |
Quadratic twists by: -3 5 |