Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550m |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-21945937500 = -1 · 22 · 35 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,349,6698] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:76:1] |
Generators of the group modulo torsion |
j |
302111711/1404540 |
j-invariant |
L |
2.6988215128117 |
L(r)(E,1)/r! |
Ω |
0.86585575119582 |
Real period |
R |
0.1558470628095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400cg1 81600bc1 7650bx1 510c1 |
Quadratic twists by: -4 8 -3 5 |