Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280cg |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-4.1846000993255E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3113880,10065678228] |
[a1,a2,a3,a4,a6] |
Generators |
[-2628:10290:1] |
Generators of the group modulo torsion |
j |
-815210040317744637721/10216308836243865600 |
j-invariant |
L |
8.8939861336379 |
L(r)(E,1)/r! |
Ω |
0.097103163946139 |
Real period |
R |
3.8163818699207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910g1 |
Quadratic twists by: -4 |