Atkin-Lehner |
2+ 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050n |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20866560 |
Modular degree for the optimal curve |
Δ |
-5.113812926599E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 6 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45258200,-1094316216000] |
[a1,a2,a3,a4,a6] |
j |
-5249108139346023844949/261827221841869012992 |
j-invariant |
L |
2.289597719566 |
L(r)(E,1)/r! |
Ω |
0.022895977195677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150ev1 37050cq1 |
Quadratic twists by: -3 5 |