Atkin-Lehner |
2+ 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29848b |
Isogeny class |
Conductor |
29848 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-44956341248 = -1 · 210 · 72 · 13 · 413 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 2 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,10204] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:56:1] [26:164:1] |
Generators of the group modulo torsion |
j |
-62500/43902677 |
j-invariant |
L |
6.8525506873485 |
L(r)(E,1)/r! |
Ω |
0.9049085874057 |
Real period |
R |
0.63105367609512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59696e1 |
Quadratic twists by: -4 |