Atkin-Lehner |
2- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
114638i |
Isogeny class |
Conductor |
114638 |
Conductor |
∏ cp |
190 |
Product of Tamagawa factors cp |
deg |
19662720 |
Modular degree for the optimal curve |
Δ |
4.07997569407E+24 |
Discriminant |
Eigenvalues |
2- 0 -1 -2 -5 -3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44624113,-60981722207] |
[a1,a2,a3,a4,a6] |
Generators |
[11191:911508:1] [-3689:232980:1] |
Generators of the group modulo torsion |
j |
1554611083084760121/645426573737984 |
j-invariant |
L |
14.29904056169 |
L(r)(E,1)/r! |
Ω |
0.060597070636169 |
Real period |
R |
1.2419430084559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666b1 |
Quadratic twists by: -43 |