Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230eo |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
1136705473180791360 = 26 · 312 · 5 · 73 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-349592,-60726949] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:1279:1] |
Generators of the group modulo torsion |
j |
3658671062929/880165440 |
j-invariant |
L |
10.814761663451 |
L(r)(E,1)/r! |
Ω |
0.19977289925137 |
Real period |
R |
4.5112732600533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410x1 6930q1 |
Quadratic twists by: -3 -11 |