Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638u |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-37845956447978 = -1 · 2 · 77 · 172 · 433 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -3 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3039,-304193] |
[a1,a2,a3,a4,a6] |
j |
-26383748833/321685322 |
j-invariant |
L |
1.1064616339948 |
L(r)(E,1)/r! |
Ω |
0.27661541110005 |
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 |
10234k1 |
Quadratic twists by: -7 |