Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634u |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
473412520824768 = 26 · 38 · 77 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1052676,-415445360] |
[a1,a2,a3,a4,a6] |
Generators |
[-592:332:1] |
Generators of the group modulo torsion |
j |
1504154129818033/5519808 |
j-invariant |
L |
4.4711307142526 |
L(r)(E,1)/r! |
Ω |
0.14904793058758 |
Real period |
R |
1.8748711809627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10878bd2 4662g2 |
Quadratic twists by: -3 -7 |