Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4598n |
Isogeny class |
Conductor |
4598 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-269277272 = -1 · 23 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 1 0 1 11- -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1878,-31492] |
[a1,a2,a3,a4,a6] |
Generators |
[274:4340:1] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
6.1805473247057 |
L(r)(E,1)/r! |
Ω |
0.36260591232978 |
Real period |
R |
2.8408009515505 |
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 |
36784bh1 41382m1 114950m1 38a3 |
Quadratic twists by: -4 -3 5 -11 |