Atkin-Lehner |
2+ 7- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
126896c |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
326208 |
Modular degree for the optimal curve |
Δ |
-245670656 = -1 · 28 · 7 · 113 · 103 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 11- -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-332025,73527827] |
[a1,a2,a3,a4,a6] |
j |
-15812386126514031616/959651 |
j-invariant |
L |
2.889964864207 |
L(r)(E,1)/r! |
Ω |
0.96332238231677 |
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 |
63448a1 |
Quadratic twists by: -4 |