Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
1554b |
Isogeny class |
Conductor |
1554 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-1132866 = -1 · 2 · 37 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -6 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17,44] |
[a1,a2,a3,a4,a6] |
Generators |
[4:11:1] |
Generators of the group modulo torsion |
j |
590589719/1132866 |
j-invariant |
L |
2.4869048189622 |
L(r)(E,1)/r! |
Ω |
1.8941185188416 |
Real period |
R |
0.18756593817154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12432bj1 49728c1 4662k1 38850cd1 |
Quadratic twists by: -4 8 -3 5 |