Atkin-Lehner |
2+ 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10010h |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
24664640 = 26 · 5 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-183,-934] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:9:1] |
Generators of the group modulo torsion |
j |
672451615081/24664640 |
j-invariant |
L |
2.0639283188233 |
L(r)(E,1)/r! |
Ω |
1.3018177941357 |
Real period |
R |
0.79271013505907 |
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 |
80080bt1 90090cr1 50050bx1 70070o1 |
Quadratic twists by: -4 -3 5 -7 |