Atkin-Lehner |
2+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
39650b |
Isogeny class |
Conductor |
39650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2996858515625000 = -1 · 23 · 510 · 132 · 613 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12825,-2697875] |
[a1,a2,a3,a4,a6] |
j |
-23891790625/306878312 |
j-invariant |
L |
1.1544333275082 |
L(r)(E,1)/r! |
Ω |
0.19240555458034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39650k1 |
Quadratic twists by: 5 |