Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090h |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
733504055558400 = 28 · 32 · 52 · 78 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61863,-5803083] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:421:1] |
Generators of the group modulo torsion |
j |
222556033261801/6234681600 |
j-invariant |
L |
3.5182691670681 |
L(r)(E,1)/r! |
Ω |
0.30323838604703 |
Real period |
R |
2.9005803093476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001827 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870k2 |
Quadratic twists by: -7 |