Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bh |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-2928515625 = -1 · 32 · 58 · 72 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -1 -7 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,237,-2094] |
[a1,a2,a3,a4,a6] |
Generators |
[10:32:1] |
Generators of the group modulo torsion |
j |
76895/153 |
j-invariant |
L |
1.8608635959761 |
L(r)(E,1)/r! |
Ω |
0.74472269263929 |
Real period |
R |
0.41645559573588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475cb1 62475ck1 |
Quadratic twists by: 5 -7 |