Atkin-Lehner |
2+ 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050b |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2872023416718750 = 2 · 316 · 57 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-572750,-167057250] |
[a1,a2,a3,a4,a6] |
Generators |
[-435:330:1] [1815:68205:1] |
Generators of the group modulo torsion |
j |
1329842365778838241/183809498670 |
j-invariant |
L |
6.3020308807426 |
L(r)(E,1)/r! |
Ω |
0.17354487121605 |
Real period |
R |
18.156776505568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810w3 |
Quadratic twists by: 5 |