Atkin-Lehner |
2+ 3- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890bj |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.4924516286044E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12536559,-16980486435] |
[a1,a2,a3,a4,a6] |
Generators |
[-2094:10317:1] [-2039:11082:1] |
Generators of the group modulo torsion |
j |
298903671775663020542449/2047258749800250000 |
j-invariant |
L |
7.4895638854815 |
L(r)(E,1)/r! |
Ω |
0.080266480310549 |
Real period |
R |
7.7757280670119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21630ba2 |
Quadratic twists by: -3 |