Atkin-Lehner |
2+ 3- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
31842h |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
44005590901809216 = 26 · 310 · 292 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2589831,1604803837] |
[a1,a2,a3,a4,a6] |
Generators |
[-5714:447547:8] |
Generators of the group modulo torsion |
j |
2635181623072731386737/60364322224704 |
j-invariant |
L |
4.8536249568193 |
L(r)(E,1)/r! |
Ω |
0.33320596214004 |
Real period |
R |
3.6416102263346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10614m3 |
Quadratic twists by: -3 |