Atkin-Lehner |
3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1995a |
Isogeny class |
Conductor |
1995 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
769820625 = 33 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6696,208104] |
[a1,a2,a3,a4,a6] |
j |
33202753467020929/769820625 |
j-invariant |
L |
0.73832597021971 |
L(r)(E,1)/r! |
Ω |
1.4766519404394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31920bo1 127680de1 5985q1 9975i1 |
Quadratic twists by: -4 8 -3 5 |