Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ex |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
-488117230272000000 = -1 · 212 · 33 · 56 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800333,-277359963] |
[a1,a2,a3,a4,a6] |
Generators |
[15267152687703:551695539053700:8353070389] |
Generators of the group modulo torsion |
j |
-3136000/27 |
j-invariant |
L |
6.4903525356144 |
L(r)(E,1)/r! |
Ω |
0.079767998832667 |
Real period |
R |
20.341341862009 |
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 |
117600gu1 4704m1 117600gh1 |
Quadratic twists by: -4 5 -7 |