Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104cb |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.0754751460626E+31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1353000992,220023955131648] |
[a1,a2,a3,a4,a6] |
Generators |
[29833248133862494380343226559355036082:-16157700171572233866902016652954921216590:100995857943572558988600105292849] |
Generators of the group modulo torsion |
j |
-2770540998624539614657/209924951154647363208 |
j-invariant |
L |
7.449059978512 |
L(r)(E,1)/r! |
Ω |
0.017782814744202 |
Real period |
R |
52.361367426585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138w6 5712t6 |
Quadratic twists by: -4 17 |