Atkin-Lehner |
17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10693f |
Isogeny class |
Conductor |
10693 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
353343041658973 = 178 · 373 |
Discriminant |
Eigenvalues |
2 -3 2 -1 3 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-60979,5724873] |
[a1,a2,a3,a4,a6] |
j |
1038893617152/14638717 |
j-invariant |
L |
3.2403200322752 |
L(r)(E,1)/r! |
Ω |
0.54005333871254 |
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 |
96237p1 629b1 |
Quadratic twists by: -3 17 |