Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650j |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
528768 |
Modular degree for the optimal curve |
Δ |
-15761516544000000 = -1 · 217 · 39 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,62200,-888000] |
[a1,a2,a3,a4,a6] |
Generators |
[244164234035:6289754414862:2833148375] |
Generators of the group modulo torsion |
j |
1703193262339967/1008737058816 |
j-invariant |
L |
4.6378665516749 |
L(r)(E,1)/r! |
Ω |
0.22972730862213 |
Real period |
R |
20.188573049901 |
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 |
2346j1 |
Quadratic twists by: 5 |