Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690bu |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1169280 |
Modular degree for the optimal curve |
Δ |
-91169908762142250 = -1 · 2 · 36 · 53 · 298 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -5 -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96032,-18475811] |
[a1,a2,a3,a4,a6] |
Generators |
[6200111348:222772414069:4410944] |
Generators of the group modulo torsion |
j |
-268569/250 |
j-invariant |
L |
12.073491838207 |
L(r)(E,1)/r! |
Ω |
0.13059988298237 |
Real period |
R |
15.407736923768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410d1 75690s1 |
Quadratic twists by: -3 29 |