Atkin-Lehner |
2- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
22448b |
Isogeny class |
Conductor |
22448 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1685376 |
Modular degree for the optimal curve |
Δ |
-3.2076151304952E+23 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 -2 -2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16658099,-37779853966] |
[a1,a2,a3,a4,a6] |
Generators |
[44575:9369478:1] |
Generators of the group modulo torsion |
j |
-124807326579650811896073/78310916271856654336 |
j-invariant |
L |
2.1334217202434 |
L(r)(E,1)/r! |
Ω |
0.036332426129021 |
Real period |
R |
4.194249654304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2806b1 89792h1 |
Quadratic twists by: -4 8 |