Atkin-Lehner |
3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
2409f |
Isogeny class |
Conductor |
2409 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
702197001 = 32 · 114 · 732 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-232,455] |
[a1,a2,a3,a4,a6] |
j |
1381352948353/702197001 |
j-invariant |
L |
1.4204767190353 |
L(r)(E,1)/r! |
Ω |
1.4204767190353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38544i2 7227e2 60225f2 118041d2 |
Quadratic twists by: -4 -3 5 -7 |