Atkin-Lehner |
5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
395c |
Isogeny class |
Conductor |
395 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
68 |
Modular degree for the optimal curve |
Δ |
-246875 = -1 · 55 · 79 |
Discriminant |
Eigenvalues |
-2 -1 5- 3 -3 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-50,156] |
[a1,a2,a3,a4,a6] |
j |
-14102327296/246875 |
j-invariant |
L |
0.62499546258922 |
L(r)(E,1)/r! |
Ω |
3.1249773129461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
6320h1 25280c1 3555e1 1975d1 |
Quadratic twists by: -4 8 -3 5 |