Atkin-Lehner |
2+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57134j |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
752836892192 = 25 · 79 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11+ 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34128035,-76753027987] |
[a1,a2,a3,a4,a6] |
Generators |
[319938383608937940435875016507:-297542142137055194163508132550735:370296749318976010764891] |
Generators of the group modulo torsion |
j |
108936952652215525375/18656 |
j-invariant |
L |
6.227831557595 |
L(r)(E,1)/r! |
Ω |
0.062462840823061 |
Real period |
R |
49.852291982624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57134k2 |
Quadratic twists by: -7 |