Atkin-Lehner |
2+ 3- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090p |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1146880 |
Modular degree for the optimal curve |
Δ |
-122398320844800000 = -1 · 216 · 38 · 55 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11880,-16836800] |
[a1,a2,a3,a4,a6] |
Generators |
[34455:92746:125] |
Generators of the group modulo torsion |
j |
-254370104714881/167898931200000 |
j-invariant |
L |
4.2271309698802 |
L(r)(E,1)/r! |
Ω |
0.14889376468887 |
Real period |
R |
7.0975621085107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bd1 |
Quadratic twists by: -3 |