Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700g |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
160825500000000 = 28 · 34 · 59 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181908,-29795688] |
[a1,a2,a3,a4,a6] |
Generators |
[7578:203481:8] |
Generators of the group modulo torsion |
j |
166426126492624/40206375 |
j-invariant |
L |
3.4084745606364 |
L(r)(E,1)/r! |
Ω |
0.23117597721333 |
Real period |
R |
7.3720345034463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540j2 |
Quadratic twists by: 5 |