Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124930d |
Isogeny class |
Conductor |
124930 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-12493000 = -1 · 23 · 53 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,58,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
21854039/13000 |
j-invariant |
L |
8.2685517902565 |
L(r)(E,1)/r! |
Ω |
1.3147654589786 |
Real period |
R |
2.0963312602281 |
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 |
124930f1 |
Quadratic twists by: -31 |