Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200q |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-75261570921267200 = -1 · 241 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 1 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198700,36557360] |
[a1,a2,a3,a4,a6] |
Generators |
[13566:55771136:9261] |
Generators of the group modulo torsion |
j |
-132384574175625/11484004352 |
j-invariant |
L |
11.709031624292 |
L(r)(E,1)/r! |
Ω |
0.33712231186745 |
Real period |
R |
4.3415368888095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200cp1 1850m1 59200bw1 |
Quadratic twists by: -4 8 5 |