Atkin-Lehner |
2+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104i |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
163235072 = 28 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11+ 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-329,2107] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:14:1] [7:14:1] |
Generators of the group modulo torsion |
j |
91307008/3773 |
j-invariant |
L |
6.9906482462832 |
L(r)(E,1)/r! |
Ω |
1.7993841308971 |
Real period |
R |
0.32375189406788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104104s1 |
Quadratic twists by: 13 |