Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7686o |
Isogeny class |
Conductor |
7686 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-30600364032 = -1 · 215 · 37 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 1 -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,220,-8377] |
[a1,a2,a3,a4,a6] |
Generators |
[21:61:1] |
Generators of the group modulo torsion |
j |
1622234375/41975808 |
j-invariant |
L |
6.1545063071422 |
L(r)(E,1)/r! |
Ω |
0.56809403623763 |
Real period |
R |
0.1805600808598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61488bj1 2562d1 53802ce1 |
Quadratic twists by: -4 -3 -7 |