Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72800be |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
108544 |
Modular degree for the optimal curve |
Δ |
249704000 = 26 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52018,4583832] |
[a1,a2,a3,a4,a6] |
j |
1945821622203584/31213 |
j-invariant |
L |
5.0022978857903 |
L(r)(E,1)/r! |
Ω |
1.2505744751238 |
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 |
72800bx1 72800bv1 |
Quadratic twists by: -4 5 |