Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124930d |
Isogeny class |
Conductor |
124930 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-5404971520 = -1 · 29 · 5 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-717,7901] |
[a1,a2,a3,a4,a6] |
Generators |
[-556:7733:64] |
Generators of the group modulo torsion |
j |
-42511249561/5624320 |
j-invariant |
L |
8.2685517902565 |
L(r)(E,1)/r! |
Ω |
1.3147654589786 |
Real period |
R |
6.2889937806843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124930f2 |
Quadratic twists by: -31 |