Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
24600g |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-101351004634800 = -1 · 24 · 37 · 52 · 415 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -3 -2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213743,-37967148] |
[a1,a2,a3,a4,a6] |
j |
-2699861305639598080/253377511587 |
j-invariant |
L |
1.1101814570718 |
L(r)(E,1)/r! |
Ω |
0.11101814570717 |
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 |
49200bg1 73800cb1 24600bm1 |
Quadratic twists by: -4 -3 5 |