Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840j |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-197946320000000 = -1 · 210 · 57 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26176,1756324] |
[a1,a2,a3,a4,a6] |
Generators |
[120:598:1] |
Generators of the group modulo torsion |
j |
-132305973316/13203125 |
j-invariant |
L |
6.3485206652498 |
L(r)(E,1)/r! |
Ω |
0.55137917871845 |
Real period |
R |
2.8784732151726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998044742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62920r1 125840a1 |
Quadratic twists by: -4 -11 |