Atkin-Lehner |
3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7293b |
Isogeny class |
Conductor |
7293 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2956800 |
Modular degree for the optimal curve |
Δ |
4.491414222169E+27 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11- 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-418941653,704412075314] |
[a1,a2,a3,a4,a6] |
Generators |
[5615278527209245450027937390795679726:1198368985909234986230114814189998023805:105232088551796300802738732539733] |
Generators of the group modulo torsion |
j |
8131755985964161964448308988625/4491414222168968491132426977 |
j-invariant |
L |
2.2277651663605 |
L(r)(E,1)/r! |
Ω |
0.037823298870564 |
Real period |
R |
58.899282529116 |
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 |
116688w1 21879j1 80223g1 94809d1 |
Quadratic twists by: -4 -3 -11 13 |