Atkin-Lehner |
3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37905f |
Isogeny class |
Conductor |
37905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
1235134425 = 3 · 52 · 74 · 193 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-340,1580] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:39:1] [-2:48:1] |
Generators of the group modulo torsion |
j |
633839779/180075 |
j-invariant |
L |
4.8984844301474 |
L(r)(E,1)/r! |
Ω |
1.4282373636165 |
Real period |
R |
1.7148705652628 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113715g1 37905q1 |
Quadratic twists by: -3 -19 |