Atkin-Lehner |
2+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
74360c |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13578240 |
Modular degree for the optimal curve |
Δ |
-2.278310412168E+25 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11+ 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70705319,-19318538019] |
[a1,a2,a3,a4,a6] |
j |
14399580097897472/8392333984375 |
j-invariant |
L |
2.8778326280277 |
L(r)(E,1)/r! |
Ω |
0.039969897811491 |
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 |
74360v1 |
Quadratic twists by: 13 |