Atkin-Lehner |
2+ 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41574a |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1687296 |
Modular degree for the optimal curve |
Δ |
-438864759359442 = -1 · 2 · 38 · 138 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -5 0 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7418765,-7780690809] |
[a1,a2,a3,a4,a6] |
j |
-55356908515533625/538002 |
j-invariant |
L |
0.36591198511478 |
L(r)(E,1)/r! |
Ω |
0.045738998127731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722bl1 41574k1 |
Quadratic twists by: -3 13 |