Atkin-Lehner |
2- 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950by |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
69 |
Product of Tamagawa factors cp |
deg |
1313760 |
Modular degree for the optimal curve |
Δ |
-6495928320000 = -1 · 223 · 3 · 54 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2835938,-1839383569] |
[a1,a2,a3,a4,a6] |
j |
-4035839626727283375025/10393485312 |
j-invariant |
L |
4.013695911114 |
L(r)(E,1)/r! |
Ω |
0.058169505940803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950q1 |
Quadratic twists by: 5 |