Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394o |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
24710400 |
Modular degree for the optimal curve |
Δ |
-3.0246996056194E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11- -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14516247,-80916454395] |
[a1,a2,a3,a4,a6] |
Generators |
[1624059470:164814903457:166375] |
Generators of the group modulo torsion |
j |
13042470457574591/116615263548672 |
j-invariant |
L |
5.7577522293063 |
L(r)(E,1)/r! |
Ω |
0.039628793879505 |
Real period |
R |
14.52921390142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394ca1 |
Quadratic twists by: -11 |