Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bd |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1159557955920 = 24 · 36 · 5 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124068,16820377] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:5733:1] |
Generators of the group modulo torsion |
j |
153910165504/845 |
j-invariant |
L |
6.3418818663808 |
L(r)(E,1)/r! |
Ω |
0.77005565515831 |
Real period |
R |
1.372602492721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12740g1 2340g1 |
Quadratic twists by: -3 -7 |