Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600cl |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-12202930756800 = -1 · 26 · 33 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4002,-135612] |
[a1,a2,a3,a4,a6] |
Generators |
[32:162:1] |
Generators of the group modulo torsion |
j |
15680/27 |
j-invariant |
L |
9.1560866765321 |
L(r)(E,1)/r! |
Ω |
0.37454668382074 |
Real period |
R |
4.0742970432765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600ej1 117600fr1 117600a1 |
Quadratic twists by: -4 5 -7 |