Atkin-Lehner |
3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29913h |
Isogeny class |
Conductor |
29913 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
8096629394061 = 37 · 137 · 59 |
Discriminant |
Eigenvalues |
0 3- -1 -2 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9351,316892] |
[a1,a2,a3,a4,a6] |
Generators |
[30:253:1] [-90:661:1] |
Generators of the group modulo torsion |
j |
18736316416/1677429 |
j-invariant |
L |
7.7979436868201 |
L(r)(E,1)/r! |
Ω |
0.71883565716377 |
Real period |
R |
0.38742929074197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89739e1 2301b1 |
Quadratic twists by: -3 13 |