Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042s |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7893725078851946334 = -1 · 2 · 314 · 79 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,239536,-127322250] |
[a1,a2,a3,a4,a6] |
Generators |
[110418:2398451:216] |
Generators of the group modulo torsion |
j |
37666121079761/195613866162 |
j-invariant |
L |
4.3267191997989 |
L(r)(E,1)/r! |
Ω |
0.11748074995481 |
Real period |
R |
9.2072939640452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126ev2 42042br2 |
Quadratic twists by: -3 -7 |