Atkin-Lehner |
2- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200bp |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-3007630000000000 = -1 · 210 · 510 · 673 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -2 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95000,11575000] |
[a1,a2,a3,a4,a6] |
j |
-9481881600/300763 |
j-invariant |
L |
3.5878737554535 |
L(r)(E,1)/r! |
Ω |
0.44848420013272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200n1 26800g1 107200dh1 |
Quadratic twists by: -4 8 5 |