Atkin-Lehner |
2+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52390c |
Isogeny class |
Conductor |
52390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-15322222489600 = -1 · 212 · 52 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17918,940656] |
[a1,a2,a3,a4,a6] |
j |
-131794519969/3174400 |
j-invariant |
L |
1.39708879817 |
L(r)(E,1)/r! |
Ω |
0.69854439920066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
310b1 |
Quadratic twists by: 13 |