Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848u |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-662802025178304 = -1 · 26 · 312 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6171,1224520] |
[a1,a2,a3,a4,a6] |
Generators |
[33:1210:1] |
Generators of the group modulo torsion |
j |
314432/8019 |
j-invariant |
L |
7.4680288580074 |
L(r)(E,1)/r! |
Ω |
0.38368244500754 |
Real period |
R |
2.4330109948933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848v1 69696gn2 11616bc1 3168v1 |
Quadratic twists by: -4 8 -3 -11 |