Atkin-Lehner |
2- 3+ 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
33990w |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119040 |
Modular degree for the optimal curve |
Δ |
-2262034500 = -1 · 22 · 3 · 53 · 114 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96031,-11494231] |
[a1,a2,a3,a4,a6] |
Generators |
[8491:777700:1] |
Generators of the group modulo torsion |
j |
-97939605141869997169/2262034500 |
j-invariant |
L |
7.5098301216333 |
L(r)(E,1)/r! |
Ω |
0.1356021801657 |
Real period |
R |
6.9226672023787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101970w1 |
Quadratic twists by: -3 |