Atkin-Lehner |
2+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840b |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
605440 = 28 · 5 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 11+ 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148,-692] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1:1] |
Generators of the group modulo torsion |
j |
1400454144/2365 |
j-invariant |
L |
1.520754921681 |
L(r)(E,1)/r! |
Ω |
1.3689203432967 |
Real period |
R |
1.1109155687024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18920f1 |
Quadratic twists by: -4 |