Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29008o |
Isogeny class |
Conductor |
29008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-3248896 = -1 · 28 · 73 · 37 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -1 -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,111] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:14:1] [2:7:1] |
Generators of the group modulo torsion |
j |
-65536/37 |
j-invariant |
L |
4.8508444420913 |
L(r)(E,1)/r! |
Ω |
2.3362760173948 |
Real period |
R |
0.51907869682071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7252b1 116032bc1 29008n1 |
Quadratic twists by: -4 8 -7 |