Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600b |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
798332500000000 = 28 · 510 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ -3 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139375,19981250] |
[a1,a2,a3,a4,a6] |
Generators |
[149994:88786:729] |
Generators of the group modulo torsion |
j |
119767323600/319333 |
j-invariant |
L |
9.1456476203908 |
L(r)(E,1)/r! |
Ω |
0.50473780816688 |
Real period |
R |
9.0598004274795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200u1 26600bj1 |
Quadratic twists by: -4 5 |