Atkin-Lehner |
2- 3+ 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650ct |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
15724800 |
Modular degree for the optimal curve |
Δ |
5.075339654592E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37042513,86753626031] |
[a1,a2,a3,a4,a6] |
Generators |
[3311:-22080:1] |
Generators of the group modulo torsion |
j |
14390139500264321640625/1299286951575552 |
j-invariant |
L |
9.575944171199 |
L(r)(E,1)/r! |
Ω |
0.15798008984743 |
Real period |
R |
0.21648171375345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650z1 |
Quadratic twists by: 5 |