Atkin-Lehner |
3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32025r |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
-2076084675 = -1 · 34 · 52 · 75 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -6 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3193,-70556] |
[a1,a2,a3,a4,a6] |
j |
-144051062702080/83043387 |
j-invariant |
L |
1.2701454896546 |
L(r)(E,1)/r! |
Ω |
0.31753637241527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075o1 32025n1 |
Quadratic twists by: -3 5 |