Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080cb |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4898011852800 = 212 · 33 · 52 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-435761,110573439] |
[a1,a2,a3,a4,a6] |
Generators |
[130837:-7260:343] [-510:14157:1] |
Generators of the group modulo torsion |
j |
1261112198464/675 |
j-invariant |
L |
10.00635584841 |
L(r)(E,1)/r! |
Ω |
0.63135099095958 |
Real period |
R |
0.66037988322465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58080f4 116160cl1 480d2 |
Quadratic twists by: -4 8 -11 |