Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616fy |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-310940520454029312 = -1 · 220 · 310 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-648795,202926346] |
[a1,a2,a3,a4,a6] |
Generators |
[455:-1386:1] |
Generators of the group modulo torsion |
j |
-29489309167375/303595776 |
j-invariant |
L |
5.88567412559 |
L(r)(E,1)/r! |
Ω |
0.30746886852467 |
Real period |
R |
1.1963963524286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702bu1 25872ck1 77616fx1 |
Quadratic twists by: -4 -3 -7 |