Atkin-Lehner |
2- 3+ 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24510i |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
1.6163434718208E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1660711,800013533] |
[a1,a2,a3,a4,a6] |
Generators |
[-1469:9234:1] |
Generators of the group modulo torsion |
j |
506530866772858616168689/16163434718208000000 |
j-invariant |
L |
6.3061312276405 |
L(r)(E,1)/r! |
Ω |
0.21904127428782 |
Real period |
R |
3.5987117314671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73530q1 122550p1 |
Quadratic twists by: -3 5 |