Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920cw |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
149270833152000 = 214 · 39 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73083,-7581782] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:144:1] |
Generators of the group modulo torsion |
j |
14457238157881/49990500 |
j-invariant |
L |
3.8232154386114 |
L(r)(E,1)/r! |
Ω |
0.29042618069091 |
Real period |
R |
3.2910388728011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490br1 38640cx1 |
Quadratic twists by: -4 -3 |