Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34122v |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
918 |
Product of Tamagawa factors cp |
deg |
35251200 |
Modular degree for the optimal curve |
Δ |
-7.7179721654985E+28 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,244295307,13285231064865] |
[a1,a2,a3,a4,a6] |
Generators |
[-9142:3212039:1] |
Generators of the group modulo torsion |
j |
910149999888914847380375/43565940803046185238528 |
j-invariant |
L |
10.298444945584 |
L(r)(E,1)/r! |
Ω |
0.02609343650935 |
Real period |
R |
0.42992994080739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366h1 3102c1 |
Quadratic twists by: -3 -11 |