Atkin-Lehner |
3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
777a |
Isogeny class |
Conductor |
777 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7195797 = 34 · 74 · 37 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-206,-1221] |
[a1,a2,a3,a4,a6] |
j |
974126411497/7195797 |
j-invariant |
L |
1.2599461386973 |
L(r)(E,1)/r! |
Ω |
1.2599461386973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12432bz3 49728bk4 2331b3 19425u3 |
Quadratic twists by: -4 8 -3 5 |