Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800y |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-7080000000000 = -1 · 212 · 3 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4792,-11088] |
[a1,a2,a3,a4,a6] |
j |
304175/177 |
j-invariant |
L |
0.88232047378345 |
L(r)(E,1)/r! |
Ω |
0.44116025075197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4425h1 70800da1 |
Quadratic twists by: -4 5 |