Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616dp |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-79339696128 = -1 · 212 · 33 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ -5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-672,-15120] |
[a1,a2,a3,a4,a6] |
Generators |
[57:363:1] |
Generators of the group modulo torsion |
j |
-6193152/14641 |
j-invariant |
L |
2.4028285747894 |
L(r)(E,1)/r! |
Ω |
0.43768830149698 |
Real period |
R |
1.3724541899554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4851e1 77616ec1 77616cw1 |
Quadratic twists by: -4 -3 -7 |