Atkin-Lehner |
2+ 5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050x |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4108800 |
Modular degree for the optimal curve |
Δ |
-444715909120000000 = -1 · 220 · 57 · 75 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 5 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5212900,-4583358000] |
[a1,a2,a3,a4,a6] |
Generators |
[115435080:6701258460:24389] |
Generators of the group modulo torsion |
j |
-1002633007535125420609/28461818183680 |
j-invariant |
L |
8.8032592211189 |
L(r)(E,1)/r! |
Ω |
0.049957300186921 |
Real period |
R |
8.8107835958245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610m1 |
Quadratic twists by: 5 |