Atkin-Lehner |
2+ 3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570l |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
351684440457120 = 25 · 314 · 5 · 193 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3529367055,-80702800676915] |
[a1,a2,a3,a4,a6] |
Generators |
[-315962304191661664758385181658171466619991:157980885947230356846223816118790918540122:9211930417372334257756857699678960513] |
Generators of the group modulo torsion |
j |
6669398479646087880791999773681/482420357280 |
j-invariant |
L |
4.5953389926437 |
L(r)(E,1)/r! |
Ω |
0.019587334852774 |
Real period |
R |
58.651917688951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999882667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190ba4 |
Quadratic twists by: -3 |