Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bb |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
3454005895628940288 = 210 · 310 · 76 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-936416,337044782] |
[a1,a2,a3,a4,a6] |
Generators |
[1110:-26354:1] |
Generators of the group modulo torsion |
j |
771864882375147625/29358565696512 |
j-invariant |
L |
4.9094242643781 |
L(r)(E,1)/r! |
Ω |
0.24845493324772 |
Real period |
R |
0.49399545017575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1326a1 |
Quadratic twists by: -7 |