Atkin-Lehner |
2+ 3- 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526l |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
220416 |
Modular degree for the optimal curve |
Δ |
340163857152 = 28 · 36 · 7 · 173 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 1 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2049,22589] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:84:1] [2:135:1] |
Generators of the group modulo torsion |
j |
1305392995089/466617088 |
j-invariant |
L |
7.1353908627029 |
L(r)(E,1)/r! |
Ω |
0.88068285703051 |
Real period |
R |
1.3503519462865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12614f1 |
Quadratic twists by: -3 |