Atkin-Lehner |
5- 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127075k |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-303552391796875 = -1 · 58 · 13 · 173 · 233 |
Discriminant |
Eigenvalues |
0 -2 5- -4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,14417,-503881] |
[a1,a2,a3,a4,a6] |
Generators |
[522:6779:8] |
Generators of the group modulo torsion |
j |
848317153280/777094123 |
j-invariant |
L |
1.9246293855141 |
L(r)(E,1)/r! |
Ω |
0.29889531927464 |
Real period |
R |
6.439141596462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000530933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127075e2 |
Quadratic twists by: 5 |