Atkin-Lehner |
2+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10010a |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
594086392900 = 22 · 52 · 74 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51385,-4470375] |
[a1,a2,a3,a4,a6] |
Generators |
[275:1325:1] |
Generators of the group modulo torsion |
j |
15005053520986088169/594086392900 |
j-invariant |
L |
2.4849147372067 |
L(r)(E,1)/r! |
Ω |
0.3170962455711 |
Real period |
R |
3.9182342457749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80080bd2 90090dm2 50050bt2 70070s2 |
Quadratic twists by: -4 -3 5 -7 |