Atkin-Lehner |
2- 3- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090ea |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
3072 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-4963730028697440000 = -1 · 28 · 39 · 54 · 72 · 114 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,399793,44881431] |
[a1,a2,a3,a4,a6] |
Generators |
[11:7014:1] |
Generators of the group modulo torsion |
j |
9693994288141282391/6808957515360000 |
j-invariant |
L |
12.250224680213 |
L(r)(E,1)/r! |
Ω |
0.15387412551413 |
Real period |
R |
0.41464575870869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003657 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030b1 |
Quadratic twists by: -3 |