Atkin-Lehner |
2+ 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658n |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
60642098307994896 = 24 · 34 · 710 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-318329,-68239275] |
[a1,a2,a3,a4,a6] |
Generators |
[18750:174145:27] |
Generators of the group modulo torsion |
j |
30322584755446537/515449330704 |
j-invariant |
L |
5.3323885299474 |
L(r)(E,1)/r! |
Ω |
0.20120006713764 |
Real period |
R |
6.625729034722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17094k2 |
Quadratic twists by: -7 |