Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520g |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
452242756000000 = 28 · 56 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-253183,-49023618] |
[a1,a2,a3,a4,a6] |
Generators |
[-801628660:-250760271:2744000] |
Generators of the group modulo torsion |
j |
59593532744016/15015625 |
j-invariant |
L |
5.3316958287165 |
L(r)(E,1)/r! |
Ω |
0.21283717506795 |
Real period |
R |
12.525292756261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999520471 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60760r2 2480e2 |
Quadratic twists by: -4 -7 |