Atkin-Lehner |
3+ 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225d |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-65220075 = -1 · 32 · 52 · 173 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68,416] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:139:8] [-6:28:1] |
Generators of the group modulo torsion |
j |
-1392225385/2608803 |
j-invariant |
L |
4.7507111973003 |
L(r)(E,1)/r! |
Ω |
1.7493151818295 |
Real period |
R |
0.45262580911101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75225v1 |
Quadratic twists by: 5 |