Atkin-Lehner |
2+ 3- 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918m |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
16588800 |
Modular degree for the optimal curve |
Δ |
700433737815232512 = 212 · 312 · 74 · 133 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -4 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60327594,180367559284] |
[a1,a2,a3,a4,a6] |
Generators |
[-7804:423230:1] [-1591:522638:1] |
Generators of the group modulo torsion |
j |
33307666145741219816027809/960814455164928 |
j-invariant |
L |
6.5091667366549 |
L(r)(E,1)/r! |
Ω |
0.20923920286204 |
Real period |
R |
1.2961972563624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33306p1 |
Quadratic twists by: -3 |