Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800le |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-4133430000000000 = -1 · 210 · 310 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37500,-1325000] |
[a1,a2,a3,a4,a6] |
Generators |
[128542183:2457138051:571787] |
Generators of the group modulo torsion |
j |
800000/567 |
j-invariant |
L |
6.7232801513704 |
L(r)(E,1)/r! |
Ω |
0.24724360832918 |
Real period |
R |
13.596469081448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800eq1 25200dq1 33600fy1 100800pg1 |
Quadratic twists by: -4 8 -3 5 |