Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616o |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-191760340464 = -1 · 24 · 33 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ -1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1029,-16807] |
[a1,a2,a3,a4,a6] |
j |
6912/11 |
j-invariant |
L |
2.1267524160575 |
L(r)(E,1)/r! |
Ω |
0.53168809502861 |
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 |
38808n1 77616bc1 77616q1 |
Quadratic twists by: -4 -3 -7 |