Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230ev |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-224025266123366400 = -1 · 213 · 36 · 52 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15223,22757001] |
[a1,a2,a3,a4,a6] |
j |
2496791/1433600 |
j-invariant |
L |
6.3701542368755 |
L(r)(E,1)/r! |
Ω |
0.24500593250705 |
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 |
8470j1 76230bo1 |
Quadratic twists by: -3 -11 |