Atkin-Lehner |
3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57399c |
Isogeny class |
Conductor |
57399 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-53151707942424477 = -1 · 310 · 198 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 4 0 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,67319,8850716] |
[a1,a2,a3,a4,a6] |
Generators |
[-10165155:358491673:166375] |
Generators of the group modulo torsion |
j |
717157709351/1129784517 |
j-invariant |
L |
4.5409744981905 |
L(r)(E,1)/r! |
Ω |
0.2416047845003 |
Real period |
R |
9.3975260206203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3021a2 |
Quadratic twists by: -19 |