Atkin-Lehner |
2+ 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658o |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19801501488324864 = 28 · 34 · 78 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93076,8541520] |
[a1,a2,a3,a4,a6] |
Generators |
[97:613:1] |
Generators of the group modulo torsion |
j |
757976769362233/168309985536 |
j-invariant |
L |
3.6031405193619 |
L(r)(E,1)/r! |
Ω |
0.36313950870902 |
Real period |
R |
2.4805484432612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998537465 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17094j2 |
Quadratic twists by: -7 |