Atkin-Lehner |
2- 5+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23870m |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-97771520000 = -1 · 216 · 54 · 7 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4501,115323] |
[a1,a2,a3,a4,a6] |
Generators |
[71:364:1] |
Generators of the group modulo torsion |
j |
-10084555987965649/97771520000 |
j-invariant |
L |
5.6733361981558 |
L(r)(E,1)/r! |
Ω |
1.07093312554 |
Real period |
R |
0.16554885824732 |
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 |
119350a1 |
Quadratic twists by: 5 |