Atkin-Lehner |
7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21413a |
Isogeny class |
Conductor |
21413 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
-44010925168636447 = -1 · 77 · 192 · 236 |
Discriminant |
Eigenvalues |
-1 -2 0 7- 4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-196148,34910623] |
[a1,a2,a3,a4,a6] |
j |
-7093935953448625/374086691503 |
j-invariant |
L |
0.71185638912179 |
L(r)(E,1)/r! |
Ω |
0.3559281945609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3059b1 |
Quadratic twists by: -7 |