Atkin-Lehner |
2- 3+ 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650ci |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
-1.1793986395313E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6731838,-6727610469] |
[a1,a2,a3,a4,a6] |
j |
-2159258604297131921689/754815129300000 |
j-invariant |
L |
3.7490144880176 |
L(r)(E,1)/r! |
Ω |
0.04686267094179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530n1 |
Quadratic twists by: 5 |