Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992ct |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3932160 |
Modular degree for the optimal curve |
Δ |
-1.5060939143737E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3223596,2235523120] |
[a1,a2,a3,a4,a6] |
Generators |
[1013:3087:1] |
Generators of the group modulo torsion |
j |
-19385548183592137/78810594471 |
j-invariant |
L |
5.137632937262 |
L(r)(E,1)/r! |
Ω |
0.22259266485551 |
Real period |
R |
1.1540436099051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000170306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fg1 1953e1 41664by1 |
Quadratic twists by: -4 8 -3 |