Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200db |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-313098240000000000 = -1 · 224 · 3 · 510 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197408,43245312] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:8750:1] [97:5000:1] |
Generators of the group modulo torsion |
j |
-13293525831769/4892160000 |
j-invariant |
L |
9.1063169513618 |
L(r)(E,1)/r! |
Ω |
0.28788624242885 |
Real period |
R |
3.95395628806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650ct1 21840ca1 |
Quadratic twists by: -4 5 |