Atkin-Lehner |
3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37191h |
Isogeny class |
Conductor |
37191 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-200952851784993 = -1 · 39 · 79 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- -7 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-128847,-17825321] |
[a1,a2,a3,a4,a6] |
Generators |
[2699:137565:1] |
Generators of the group modulo torsion |
j |
-5862183923791/4979799 |
j-invariant |
L |
5.9289589117933 |
L(r)(E,1)/r! |
Ω |
0.12598802312031 |
Real period |
R |
2.6144279277739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111573v1 37191c1 |
Quadratic twists by: -3 -7 |