Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770p |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-26853120 = -1 · 28 · 34 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21,-261] |
[a1,a2,a3,a4,a6] |
j |
-1027243729/26853120 |
j-invariant |
L |
3.6613585121464 |
L(r)(E,1)/r! |
Ω |
0.91533962803659 |
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 |
62160ck1 23310bb1 38850bb1 54390dg1 |
Quadratic twists by: -4 -3 5 -7 |