Atkin-Lehner |
3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115311t |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
83968 |
Modular degree for the optimal curve |
Δ |
4287147669 = 38 · 7 · 173 · 19 |
Discriminant |
Eigenvalues |
0 3- 1 7- -6 -3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1065,-13363] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:13:1] [-150:149:8] |
Generators of the group modulo torsion |
j |
27216576512/872613 |
j-invariant |
L |
12.182837134217 |
L(r)(E,1)/r! |
Ω |
0.83730006415904 |
Real period |
R |
0.90938404732284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999963222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115311c1 |
Quadratic twists by: 17 |