Atkin-Lehner |
2+ 3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658bg |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
11796480 |
Modular degree for the optimal curve |
Δ |
-6.1481523559088E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5573531,-12960724570] |
[a1,a2,a3,a4,a6] |
Generators |
[44118:2795339:8] |
Generators of the group modulo torsion |
j |
-162752108275155561625/522584327610842112 |
j-invariant |
L |
6.6478623552058 |
L(r)(E,1)/r! |
Ω |
0.045279233484805 |
Real period |
R |
2.2940505125501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094a1 |
Quadratic twists by: -7 |