Atkin-Lehner |
5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175h |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1667738914296875 = -1 · 57 · 79 · 232 |
Discriminant |
Eigenvalues |
-2 3 5+ 7- -1 7 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15925,-2111594] |
[a1,a2,a3,a4,a6] |
j |
-242970624/907235 |
j-invariant |
L |
3.1123688028239 |
L(r)(E,1)/r! |
Ω |
0.19452305017642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5635m1 4025d1 |
Quadratic twists by: 5 -7 |