Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405n |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288000 |
Modular degree for the optimal curve |
Δ |
-3.6233768311247E+24 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-169997268,-858023430777] |
[a1,a2,a3,a4,a6] |
Generators |
[629515955593:1256818872326:41781923] |
Generators of the group modulo torsion |
j |
-6334812566762194468864/42247180925026875 |
j-invariant |
L |
5.2484503983671 |
L(r)(E,1)/r! |
Ω |
0.020897100079478 |
Real period |
R |
15.69730482461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30135be1 12915r1 |
Quadratic twists by: -3 -7 |