Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63063c |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
9270261 = 33 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3+ -1 7+ 11- 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,270] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-12:1] [-3:23:1] |
Generators of the group modulo torsion |
j |
964467/143 |
j-invariant |
L |
6.1883720594844 |
L(r)(E,1)/r! |
Ω |
2.2124144685435 |
Real period |
R |
0.46618540870599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063a1 63063k1 |
Quadratic twists by: -3 -7 |