Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14490bf |
Isogeny class |
Conductor |
14490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1142854816320 = 26 · 39 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9234,-335340] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:57:1] |
Generators of the group modulo torsion |
j |
119451676585249/1567702080 |
j-invariant |
L |
3.7525467765893 |
L(r)(E,1)/r! |
Ω |
0.48741034706535 |
Real period |
R |
1.2831579520839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920eg1 4830be1 72450dp1 101430br1 |
Quadratic twists by: -4 -3 5 -7 |