Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616c |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-424283450443776 = -1 · 211 · 33 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11- 6 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64827,-6429878] |
[a1,a2,a3,a4,a6] |
j |
-94517766/1331 |
j-invariant |
L |
3.5873859519166 |
L(r)(E,1)/r! |
Ω |
0.14947441466087 |
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 |
38808bk1 77616a1 77616w1 |
Quadratic twists by: -4 -3 -7 |