Atkin-Lehner |
2+ 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35322g |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17248 |
Modular degree for the optimal curve |
Δ |
-1048922112 = -1 · 211 · 3 · 7 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 3 -5 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-220,-2096] |
[a1,a2,a3,a4,a6] |
j |
-48627125/43008 |
j-invariant |
L |
1.1948251929295 |
L(r)(E,1)/r! |
Ω |
0.59741259646143 |
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 |
105966cd1 35322bb1 |
Quadratic twists by: -3 29 |