Atkin-Lehner |
2+ 11- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94622i |
Isogeny class |
Conductor |
94622 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56000 |
Modular degree for the optimal curve |
Δ |
-1385360702 = -1 · 2 · 116 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3 0 1 11- -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38,-1798] |
[a1,a2,a3,a4,a6] |
Generators |
[63546:1056985:216] |
Generators of the group modulo torsion |
j |
3375/782 |
j-invariant |
L |
9.8620940190989 |
L(r)(E,1)/r! |
Ω |
0.71527607544043 |
Real period |
R |
6.8939073676388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
782d1 |
Quadratic twists by: -11 |