Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fp |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-21635891200 = -1 · 215 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66753,-6616063] |
[a1,a2,a3,a4,a6] |
Generators |
[30416:5304327:1] |
Generators of the group modulo torsion |
j |
-40156202887880/26411 |
j-invariant |
L |
10.535992085804 |
L(r)(E,1)/r! |
Ω |
0.14850849693951 |
Real period |
R |
8.8681728239553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999547468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200ev1 61600bs1 123200gy1 |
Quadratic twists by: -4 8 5 |