Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cp |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
5184 |
Product of Tamagawa factors cp |
deg |
228925440 |
Modular degree for the optimal curve |
Δ |
-5.5008445836094E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21124971467,1181806109142491] |
[a1,a2,a3,a4,a6] |
Generators |
[27171:25043914:1] |
Generators of the group modulo torsion |
j |
-38614315531743184198258551550828563/203734984578125000000000000 |
j-invariant |
L |
12.603830144054 |
L(r)(E,1)/r! |
Ω |
0.037987881170909 |
Real period |
R |
2.3040663357332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005812 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090h3 |
Quadratic twists by: -3 |