Atkin-Lehner |
3+ 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075m |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
14051928515625 = 33 · 58 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33000,-2314125] |
[a1,a2,a3,a4,a6] |
Generators |
[-52088:54587:512] |
Generators of the group modulo torsion |
j |
254370104714881/899323425 |
j-invariant |
L |
5.7771572603486 |
L(r)(E,1)/r! |
Ω |
0.35429228038895 |
Real period |
R |
8.1530950293235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015z1 |
Quadratic twists by: 5 |