Atkin-Lehner |
2+ 3+ 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510c |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6880 |
Modular degree for the optimal curve |
Δ |
-15318750 = -1 · 2 · 3 · 55 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77,291] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-16:1] |
Generators of the group modulo torsion |
j |
-51520374361/15318750 |
j-invariant |
L |
3.0294864765701 |
L(r)(E,1)/r! |
Ω |
2.0956094800312 |
Real period |
R |
0.28912700628983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73530bc1 122550cj1 |
Quadratic twists by: -3 5 |