Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34440o |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1163083227600000000 = 210 · 3 · 58 · 73 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-372160,70189808] |
[a1,a2,a3,a4,a6] |
Generators |
[1156:-34440:1] |
Generators of the group modulo torsion |
j |
5566907454863650564/1135823464453125 |
j-invariant |
L |
7.7069411909948 |
L(r)(E,1)/r! |
Ω |
0.25964170308897 |
Real period |
R |
0.61839555395832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880l4 103320be4 |
Quadratic twists by: -4 -3 |