Atkin-Lehner |
2+ 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103090d |
Isogeny class |
Conductor |
103090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
493241777086662500 = 22 · 55 · 139 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-232378,26684832] |
[a1,a2,a3,a4,a6] |
j |
130864391533/46512500 |
j-invariant |
L |
0.5402423206197 |
L(r)(E,1)/r! |
Ω |
0.2701212132485 |
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 |
103090t1 |
Quadratic twists by: 13 |