Atkin-Lehner |
3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115311w |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
969408 |
Modular degree for the optimal curve |
Δ |
3014343378132597 = 32 · 7 · 178 · 193 |
Discriminant |
Eigenvalues |
-2 3- 0 7- -3 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-204708,35483096] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:8236:1] |
Generators of the group modulo torsion |
j |
136000000000/432117 |
j-invariant |
L |
4.6049145265212 |
L(r)(E,1)/r! |
Ω |
0.45222335659702 |
Real period |
R |
0.56571290102382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999153927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115311f1 |
Quadratic twists by: 17 |