Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400k |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
2070250000 = 24 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 5 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,2437] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
614656/169 |
j-invariant |
L |
6.7548055899681 |
L(r)(E,1)/r! |
Ω |
1.3706769577581 |
Real period |
R |
1.2320199778496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5096i1 127400b1 |
Quadratic twists by: 5 -7 |