Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ek |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
5148111413025000000 = 26 · 36 · 58 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1090658,-424238688] |
[a1,a2,a3,a4,a6] |
Generators |
[-40281598:-250573000:68921] |
Generators of the group modulo torsion |
j |
1219555693504/43758225 |
j-invariant |
L |
6.5102409315183 |
L(r)(E,1)/r! |
Ω |
0.14805883449434 |
Real period |
R |
10.992658692337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932294 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600cn1 23520m1 16800br1 |
Quadratic twists by: -4 5 -7 |