Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24552t |
Isogeny class |
Conductor |
24552 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
716127236352 = 28 · 37 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12351,526754] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:558:1] [49:-198:1] |
Generators of the group modulo torsion |
j |
1116509913808/3837273 |
j-invariant |
L |
6.9207906308501 |
L(r)(E,1)/r! |
Ω |
0.90679494311702 |
Real period |
R |
0.31800604808645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104q1 8184a1 |
Quadratic twists by: -4 -3 |