Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3760i |
Isogeny class |
Conductor |
3760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
61603840 = 218 · 5 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 3 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-576,-5120] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:2:1] |
Generators of the group modulo torsion |
j |
5168743489/15040 |
j-invariant |
L |
2.4166505999214 |
L(r)(E,1)/r! |
Ω |
0.97455663507992 |
Real period |
R |
1.2398718108995 |
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 |
470d1 15040bk1 33840cp1 18800t1 |
Quadratic twists by: -4 8 -3 5 |