Atkin-Lehner |
3+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115311f |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
124881813 = 32 · 7 · 172 · 193 |
Discriminant |
Eigenvalues |
-2 3+ 0 7+ 3 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-708,7472] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:28:1] [5:63:1] |
Generators of the group modulo torsion |
j |
136000000000/432117 |
j-invariant |
L |
5.3463319912565 |
L(r)(E,1)/r! |
Ω |
1.8645646656209 |
Real period |
R |
0.47788920860741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999993549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115311w1 |
Quadratic twists by: 17 |