Atkin-Lehner |
2+ 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462a |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77280 |
Modular degree for the optimal curve |
Δ |
-14930223521094 = -1 · 2 · 35 · 78 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -3 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8796,364302] |
[a1,a2,a3,a4,a6] |
j |
-13057865737/2589894 |
j-invariant |
L |
1.3441171549356 |
L(r)(E,1)/r! |
Ω |
0.67205857746782 |
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 |
64386bl1 21462p1 |
Quadratic twists by: -3 -7 |