Atkin-Lehner |
7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
37583c |
Isogeny class |
Conductor |
37583 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1826121777571 = -1 · 79 · 13 · 592 |
Discriminant |
Eigenvalues |
0 0 1 7- -6 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3332,-98527] |
[a1,a2,a3,a4,a6] |
Generators |
[77:318:1] |
Generators of the group modulo torsion |
j |
-34773663744/15521779 |
j-invariant |
L |
3.4173560552257 |
L(r)(E,1)/r! |
Ω |
0.30754531400548 |
Real period |
R |
2.7779288934033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5369a1 |
Quadratic twists by: -7 |