Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46060b |
Isogeny class |
Conductor |
46060 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-7077763840 = -1 · 28 · 5 · 76 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2221,39759] |
[a1,a2,a3,a4,a6] |
Generators |
[37:98:1] |
Generators of the group modulo torsion |
j |
-40247296/235 |
j-invariant |
L |
3.8569956234807 |
L(r)(E,1)/r! |
Ω |
1.3338056122119 |
Real period |
R |
0.48195374050662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
940e1 |
Quadratic twists by: -7 |