Atkin-Lehner |
2- 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910bv |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
3469998430500 = 22 · 3 · 53 · 77 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4411,-70267] |
[a1,a2,a3,a4,a6] |
j |
80677568161/29494500 |
j-invariant |
L |
2.4150456576021 |
L(r)(E,1)/r! |
Ω |
0.6037614218774 |
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 |
11130bh1 |
Quadratic twists by: -7 |