Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bi |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10235000961360 = 24 · 312 · 5 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5446,-17677] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:373:1] |
Generators of the group modulo torsion |
j |
3635924387633/2083248720 |
j-invariant |
L |
7.4505009072869 |
L(r)(E,1)/r! |
Ω |
0.60282698832171 |
Real period |
R |
1.5449086246551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60690cc2 |
Quadratic twists by: 17 |