Atkin-Lehner |
2- 5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050by |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4105728 |
Modular degree for the optimal curve |
Δ |
-5.93759796875E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-76563,1172363281] |
[a1,a2,a3,a4,a6] |
Generators |
[-931:21388:1] [-625:31562:1] |
Generators of the group modulo torsion |
j |
-3176587827441001/38000627000000000 |
j-invariant |
L |
13.71772722221 |
L(r)(E,1)/r! |
Ω |
0.13045765464682 |
Real period |
R |
1.4604278277687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610j1 |
Quadratic twists by: 5 |