Atkin-Lehner |
3+ 11- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25311c |
Isogeny class |
Conductor |
25311 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
217920 |
Modular degree for the optimal curve |
Δ |
27680849972061 = 3 · 112 · 135 · 593 |
Discriminant |
Eigenvalues |
2 3+ 3 0 11- 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-169254,-26743807] |
[a1,a2,a3,a4,a6] |
Generators |
[4042:32457:8] |
Generators of the group modulo torsion |
j |
536220115289063206912/27680849972061 |
j-invariant |
L |
11.169461112769 |
L(r)(E,1)/r! |
Ω |
0.23537804466111 |
Real period |
R |
4.7453283626562 |
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 |
75933d1 |
Quadratic twists by: -3 |