Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864be |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
16864892462071808 = 215 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11- 2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65219,1434818] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:2786:1] |
Generators of the group modulo torsion |
j |
14553/8 |
j-invariant |
L |
7.8022053355166 |
L(r)(E,1)/r! |
Ω |
0.33919316841665 |
Real period |
R |
3.8337079779926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858b1 94864cb1 94864bf1 |
Quadratic twists by: -4 -7 -11 |