Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7700h |
Isogeny class |
Conductor |
7700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-2156000000 = -1 · 28 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,5063] |
[a1,a2,a3,a4,a6] |
j |
-4194304/539 |
j-invariant |
L |
2.8408896864628 |
L(r)(E,1)/r! |
Ω |
1.4204448432314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30800bb1 123200bo1 69300bu1 308a1 |
Quadratic twists by: -4 8 -3 5 |