Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720h |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3504024347040000 = 28 · 312 · 54 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170380,26975872] |
[a1,a2,a3,a4,a6] |
Generators |
[84:3640:1] |
Generators of the group modulo torsion |
j |
2136693050614019536/13687595105625 |
j-invariant |
L |
5.0468830378157 |
L(r)(E,1)/r! |
Ω |
0.44722627011972 |
Real period |
R |
2.8212134298682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360o2 |
Quadratic twists by: -4 |