Atkin-Lehner |
3- 5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71595c |
Isogeny class |
Conductor |
71595 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
-1931131935 = -1 · 38 · 5 · 372 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-293,-2788] |
[a1,a2,a3,a4,a6] |
Generators |
[30:106:1] |
Generators of the group modulo torsion |
j |
-3803721481/2649015 |
j-invariant |
L |
2.3007418565465 |
L(r)(E,1)/r! |
Ω |
0.559872416847 |
Real period |
R |
2.05470191772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23865f1 |
Quadratic twists by: -3 |