Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400n |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
7594070456250000 = 24 · 311 · 58 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123708,-16255287] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:675:1] |
Generators of the group modulo torsion |
j |
33499672587520/1215051273 |
j-invariant |
L |
5.8400377835646 |
L(r)(E,1)/r! |
Ω |
0.255133461812 |
Real period |
R |
0.34682013223457 |
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 |
22800o1 91200cb1 34200cs1 11400v1 |
Quadratic twists by: -4 8 -3 5 |