Atkin-Lehner |
2+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960i |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-142489600000 = -1 · 214 · 55 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 11- 4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2661,56765] |
[a1,a2,a3,a4,a6] |
j |
-127233534976/8696875 |
j-invariant |
L |
2.0315371963957 |
L(r)(E,1)/r! |
Ω |
1.015768610191 |
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 |
80960bm1 10120c1 |
Quadratic twists by: -4 8 |