Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bo |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
306720 |
Modular degree for the optimal curve |
Δ |
-290581962890625 = -1 · 36 · 510 · 74 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 1 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-138451,19833923] |
[a1,a2,a3,a4,a6] |
j |
-12517433425/12393 |
j-invariant |
L |
3.2675745937707 |
L(r)(E,1)/r! |
Ω |
0.54459576548377 |
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 |
62475bc1 62475v1 |
Quadratic twists by: 5 -7 |