Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270o |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
1.0178891513409E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2063318,1130221208] |
[a1,a2,a3,a4,a6] |
Generators |
[-1116:45760:1] |
Generators of the group modulo torsion |
j |
8257216470354032329/86519150298000 |
j-invariant |
L |
5.5616276293151 |
L(r)(E,1)/r! |
Ω |
0.22986688456811 |
Real period |
R |
0.28803562920386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610a1 |
Quadratic twists by: -7 |