Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650bs |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
358593750 = 2 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 5 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7055,-226303] |
[a1,a2,a3,a4,a6] |
Generators |
[-3084:1585:64] |
Generators of the group modulo torsion |
j |
3681571635/34 |
j-invariant |
L |
5.6836886765155 |
L(r)(E,1)/r! |
Ω |
0.52093117704167 |
Real period |
R |
1.8184387647241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200ed1 7650l1 7650f1 |
Quadratic twists by: -4 -3 5 |