Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
2350l |
Isogeny class |
Conductor |
2350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
23500000000 = 28 · 59 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 3 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-144313,21041031] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-8:1] |
Generators of the group modulo torsion |
j |
21272583599722441/1504000 |
j-invariant |
L |
3.8944666089655 |
L(r)(E,1)/r! |
Ω |
0.9111702465227 |
Real period |
R |
0.26713357244625 |
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 |
18800s1 75200t1 21150p1 470b1 |
Quadratic twists by: -4 8 -3 5 |