Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37100f |
Isogeny class |
Conductor |
37100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-385394800 = -1 · 24 · 52 · 73 · 532 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -5 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,182,-123] |
[a1,a2,a3,a4,a6] |
Generators |
[3:21:1] |
Generators of the group modulo torsion |
j |
1657637120/963487 |
j-invariant |
L |
8.3564079699729 |
L(r)(E,1)/r! |
Ω |
1.000924062687 |
Real period |
R |
1.3914488756749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37100n1 |
Quadratic twists by: 5 |