Atkin-Lehner |
2- 3- 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33630n |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-15335280 = -1 · 24 · 32 · 5 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,30,180] |
[a1,a2,a3,a4,a6] |
Generators |
[6:111:8] |
Generators of the group modulo torsion |
j |
2979767519/15335280 |
j-invariant |
L |
10.111910731447 |
L(r)(E,1)/r! |
Ω |
1.5922213859475 |
Real period |
R |
1.5877048915264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100890d1 |
Quadratic twists by: -3 |