Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bh |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-11705660261148672 = -1 · 211 · 35 · 77 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58140,-7502246] |
[a1,a2,a3,a4,a6] |
Generators |
[326:2703:1] |
Generators of the group modulo torsion |
j |
-6468095257/3483648 |
j-invariant |
L |
6.3471931193602 |
L(r)(E,1)/r! |
Ω |
0.14995236323056 |
Real period |
R |
0.70546772128172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098c1 49686de1 |
Quadratic twists by: -7 13 |