Atkin-Lehner |
3- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114513n |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
2735616 |
Modular degree for the optimal curve |
Δ |
-136035322360725123 = -1 · 313 · 78 · 192 · 41 |
Discriminant |
Eigenvalues |
2 3- -2 7- -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1259904,-545029369] |
[a1,a2,a3,a4,a6] |
j |
-1879958147933605888/1156281161427 |
j-invariant |
L |
3.7048651927101 |
L(r)(E,1)/r! |
Ω |
0.071247420578196 |
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 |
16359a1 |
Quadratic twists by: -7 |