Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760bn |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
421473820173926400 = 219 · 318 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203982987,1121344439866] |
[a1,a2,a3,a4,a6] |
Generators |
[3073161:-39058690:343] |
Generators of the group modulo torsion |
j |
314353338448506783273289/141150729600 |
j-invariant |
L |
7.1042030895303 |
L(r)(E,1)/r! |
Ω |
0.18076909626736 |
Real period |
R |
9.8249690297732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7470n3 19920m3 |
Quadratic twists by: -4 -3 |