Atkin-Lehner |
2+ 3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546ba |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6206787822524058 = 2 · 37 · 7 · 114 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86436,-8995266] |
[a1,a2,a3,a4,a6] |
Generators |
[-3489:3422:27] |
Generators of the group modulo torsion |
j |
97967718126766657/8514112239402 |
j-invariant |
L |
5.7442374766594 |
L(r)(E,1)/r! |
Ω |
0.27997952558689 |
Real period |
R |
2.564579260761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182v3 |
Quadratic twists by: -3 |