Atkin-Lehner |
2- 3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090ci |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-30743212500000 = -1 · 25 · 33 · 58 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2077,263747] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-554:1] |
Generators of the group modulo torsion |
j |
36716853043053/1138637500000 |
j-invariant |
L |
10.098265546132 |
L(r)(E,1)/r! |
Ω |
0.49738555063052 |
Real period |
R |
1.0151345909031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090l2 |
Quadratic twists by: -3 |