Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128w |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-9.976528307665E+18 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,366855,-125738451] |
[a1,a2,a3,a4,a6] |
Generators |
[5895:-454818:1] |
Generators of the group modulo torsion |
j |
21328773918339298304/38970813701816451 |
j-invariant |
L |
5.7740462136837 |
L(r)(E,1)/r! |
Ω |
0.12007893852948 |
Real period |
R |
0.13357061160477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256bb1 111384bb1 |
Quadratic twists by: -4 -3 |