Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81862b |
Isogeny class |
Conductor |
81862 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
69140342392462 = 2 · 11 · 617 |
Discriminant |
Eigenvalues |
2+ -1 -4 2 11+ -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-436314227327,-110929712485325585] |
[a1,a2,a3,a4,a6] |
Generators |
[8415769434729488754201547195266403785:1505233730455907878785412158119809582294:10828273685168951870950837324125] |
Generators of the group modulo torsion |
j |
178296503348692983836197044001/1342 |
j-invariant |
L |
1.3267242271298 |
L(r)(E,1)/r! |
Ω |
0.0058742132832318 |
Real period |
R |
56.463911129895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1342c3 |
Quadratic twists by: 61 |