Atkin-Lehner |
2+ 3- 5- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33630f |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-98145792000 = -1 · 212 · 32 · 53 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,977,9506] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:38:1] [10:-148:1] |
Generators of the group modulo torsion |
j |
103287137569559/98145792000 |
j-invariant |
L |
7.4577474463256 |
L(r)(E,1)/r! |
Ω |
0.69884985286586 |
Real period |
R |
1.7785764747947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100890v1 |
Quadratic twists by: -3 |