Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864bo |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
3681146072857673728 = 215 · 78 · 117 |
Discriminant |
Eigenvalues |
2- -3 2 7+ 11- 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-539539,121437778] |
[a1,a2,a3,a4,a6] |
Generators |
[-759:9680:1] |
Generators of the group modulo torsion |
j |
415233/88 |
j-invariant |
L |
5.2420864948071 |
L(r)(E,1)/r! |
Ω |
0.2354629141291 |
Real period |
R |
2.7828620710037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858f1 94864dh1 8624p1 |
Quadratic twists by: -4 -7 -11 |