Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370bd |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-7444779034524480 = -1 · 26 · 35 · 5 · 117 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22051,3957176] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1486:1] |
Generators of the group modulo torsion |
j |
241373799625447/1515322416960 |
j-invariant |
L |
6.834407918999 |
L(r)(E,1)/r! |
Ω |
0.30274385658029 |
Real period |
R |
0.16124918248761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370o1 |
Quadratic twists by: 17 |