Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38220d |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8093780604000000 = 28 · 33 · 56 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77436,-7049160] |
[a1,a2,a3,a4,a6] |
Generators |
[334:2058:1] |
Generators of the group modulo torsion |
j |
1705021456336/268734375 |
j-invariant |
L |
4.0769720476106 |
L(r)(E,1)/r! |
Ω |
0.28923793208403 |
Real period |
R |
2.3492608191903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660bp2 5460g2 |
Quadratic twists by: -3 -7 |