Atkin-Lehner |
3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35175bd |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
2877737979375 = 37 · 54 · 7 · 673 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 6 6 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60026,5654873] |
[a1,a2,a3,a4,a6] |
j |
38269387019581225/4604380767 |
j-invariant |
L |
5.4142231849814 |
L(r)(E,1)/r! |
Ω |
0.77346045499998 |
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 |
105525bq1 35175f1 |
Quadratic twists by: -3 5 |