Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200u |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3989376 |
Modular degree for the optimal curve |
Δ |
-3.3402193506029E+23 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -5 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17209072,4255878752] |
[a1,a2,a3,a4,a6] |
Generators |
[18442:2567790:1] |
Generators of the group modulo torsion |
j |
2201689526159049426614/1304773183829244583 |
j-invariant |
L |
9.1131664239566 |
L(r)(E,1)/r! |
Ω |
0.058645738081732 |
Real period |
R |
4.3164860748088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600v1 41200o1 |
Quadratic twists by: -4 5 |