Atkin-Lehner |
2+ 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400bs |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
2821673302940448000 = 28 · 320 · 53 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-772788,-248934672] |
[a1,a2,a3,a4,a6] |
Generators |
[-516:3564:1] [-472:3300:1] |
Generators of the group modulo torsion |
j |
1594980598947235472/88177290716889 |
j-invariant |
L |
13.311304464925 |
L(r)(E,1)/r! |
Ω |
0.16157651491595 |
Real period |
R |
1.3730651055674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400ci2 |
Quadratic twists by: 5 |