Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770n |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
-917621460 = -1 · 22 · 311 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,239,419] |
[a1,a2,a3,a4,a6] |
Generators |
[7:46:1] |
Generators of the group modulo torsion |
j |
1509398240111/917621460 |
j-invariant |
L |
5.1499918308681 |
L(r)(E,1)/r! |
Ω |
0.96736773697756 |
Real period |
R |
2.6618583781586 |
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 |
62160cf1 23310x1 38850bf1 54390db1 |
Quadratic twists by: -4 -3 5 -7 |