Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4662b |
Isogeny class |
Conductor |
4662 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-63440496 = -1 · 24 · 37 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63,445] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:26:1] [-3:26:1] |
Generators of the group modulo torsion |
j |
-38272753/87024 |
j-invariant |
L |
3.195106285981 |
L(r)(E,1)/r! |
Ω |
1.7428767578527 |
Real period |
R |
0.45830926822368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296cf1 1554g1 116550fh1 32634v1 |
Quadratic twists by: -4 -3 5 -7 |