Atkin-Lehner |
2+ 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310bo |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-2954951344128000 = -1 · 217 · 3 · 53 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116793,15574108] |
[a1,a2,a3,a4,a6] |
j |
-1497547370519929/25116672000 |
j-invariant |
L |
2.712059491058 |
L(r)(E,1)/r! |
Ω |
0.45200993092519 |
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 |
15330b1 |
Quadratic twists by: -7 |