Atkin-Lehner |
2+ 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9870a |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
34230789734400 = 220 · 34 · 52 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25497,1530981] |
[a1,a2,a3,a4,a6] |
j |
1833232627165506841/34230789734400 |
j-invariant |
L |
1.3092516536135 |
L(r)(E,1)/r! |
Ω |
0.65462582680674 |
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 |
78960dg1 29610t1 49350cf1 69090u1 |
Quadratic twists by: -4 -3 5 -7 |