Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598x |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-32743853208754272 = -1 · 25 · 33 · 133 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -3 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,71047,4790567] |
[a1,a2,a3,a4,a6] |
Generators |
[437:10714:1] |
Generators of the group modulo torsion |
j |
66676466375/55048032 |
j-invariant |
L |
5.696747197637 |
L(r)(E,1)/r! |
Ω |
0.23873385145769 |
Real period |
R |
0.79541117486312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262g1 |
Quadratic twists by: 29 |