Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920o |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
80614522880 = 224 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109185,13922945] |
[a1,a2,a3,a4,a6] |
Generators |
[47936:402039:343] |
Generators of the group modulo torsion |
j |
549131937598369/307520 |
j-invariant |
L |
6.0320269067052 |
L(r)(E,1)/r! |
Ω |
0.89047288065878 |
Real period |
R |
6.7739591375794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9920be2 310b2 89280bv2 49600ba2 |
Quadratic twists by: -4 8 -3 5 |