Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342h |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
3364996932 = 22 · 37 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-377,-376] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:34:1] [-12:55:1] |
Generators of the group modulo torsion |
j |
4435194707/2528172 |
j-invariant |
L |
4.7936497605071 |
L(r)(E,1)/r! |
Ω |
1.1724026722572 |
Real period |
R |
0.29205286069738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736bn1 37026x1 12342ba1 |
Quadratic twists by: -4 -3 -11 |