Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cl |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-69249024000 = -1 · 214 · 32 · 53 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-268691,-53630175] |
[a1,a2,a3,a4,a6] |
Generators |
[1006:25849:1] |
Generators of the group modulo torsion |
j |
-7423100311456129681/239616000 |
j-invariant |
L |
12.908207982634 |
L(r)(E,1)/r! |
Ω |
0.10484706310204 |
Real period |
R |
4.396951273226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710cc1 |
Quadratic twists by: 17 |