Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320o |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
9838967465600000 = 210 · 55 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2285387,1329795766] |
[a1,a2,a3,a4,a6] |
Generators |
[702:8450:1] |
Generators of the group modulo torsion |
j |
267080942160036/1990625 |
j-invariant |
L |
5.613544813784 |
L(r)(E,1)/r! |
Ω |
0.3657300790629 |
Real period |
R |
1.5348873760028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640u1 3640h1 |
Quadratic twists by: -4 13 |