Atkin-Lehner |
2+ 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760o |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5314117018982400 = -1 · 211 · 37 · 52 · 834 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8133,-3495926] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2030:1] [215:2862:1] |
Generators of the group modulo torsion |
j |
39849102862/3559374075 |
j-invariant |
L |
10.156449669186 |
L(r)(E,1)/r! |
Ω |
0.20416660378734 |
Real period |
R |
12.436472812866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29880l3 19920e4 |
Quadratic twists by: -4 -3 |