Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475l |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-2.8482386045366E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -2 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-465908,-284299282] |
[a1,a2,a3,a4,a6] |
j |
-17738739712/45172485 |
j-invariant |
L |
0.68032654668206 |
L(r)(E,1)/r! |
Ω |
0.085040817695032 |
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 |
12495m1 62475ci1 |
Quadratic twists by: 5 -7 |