Atkin-Lehner |
2- 3+ 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33630i |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-23061071381760 = -1 · 28 · 35 · 5 · 192 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 -7 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2954,223859] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1075:1] |
Generators of the group modulo torsion |
j |
2850663770976671/23061071381760 |
j-invariant |
L |
4.6807320607875 |
L(r)(E,1)/r! |
Ω |
0.49381365261514 |
Real period |
R |
0.19747378540465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100890j1 |
Quadratic twists by: -3 |