Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050by |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-11736606375000000 = -1 · 26 · 34 · 59 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21138,5336031] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-2233:1] |
Generators of the group modulo torsion |
j |
-534794137613/6009142464 |
j-invariant |
L |
8.4659933916042 |
L(r)(E,1)/r! |
Ω |
0.34216890118304 |
Real period |
R |
0.68728187245265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150cu1 37050bg1 |
Quadratic twists by: -3 5 |