Atkin-Lehner |
3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2541d |
Isogeny class |
Conductor |
2541 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
64081753404544029 = 3 · 77 · 1110 |
Discriminant |
Eigenvalues |
2 3+ -3 7+ 11- 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-180572,-26845765] |
[a1,a2,a3,a4,a6] |
j |
25104437248/2470629 |
j-invariant |
L |
2.0975885895462 |
L(r)(E,1)/r! |
Ω |
0.23306539883846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40656dm1 7623k1 63525by1 17787z1 |
Quadratic twists by: -4 -3 5 -7 |