Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
462c |
Isogeny class |
Conductor |
462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
-3696 = -1 · 24 · 3 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
4657463/3696 |
j-invariant |
L |
1.2390297776895 |
L(r)(E,1)/r! |
Ω |
2.4613024380517 |
Real period |
R |
1.0068082317184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3696u1 14784bd1 1386l1 11550cg1 |
Quadratic twists by: -4 8 -3 5 |