Atkin-Lehner |
2- 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
48840n |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4177578240000 = -1 · 211 · 36 · 54 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-896,-98580] |
[a1,a2,a3,a4,a6] |
Generators |
[10745:1113750:1] |
Generators of the group modulo torsion |
j |
-38886817538/2039833125 |
j-invariant |
L |
4.4041557366567 |
L(r)(E,1)/r! |
Ω |
0.34203952879768 |
Real period |
R |
6.4380800548563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680k2 |
Quadratic twists by: -4 |