Atkin-Lehner |
2- 3+ 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37842n |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
-910253284416 = -1 · 26 · 33 · 7 · 175 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -6 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17493340,-28168882051] |
[a1,a2,a3,a4,a6] |
j |
-592027560990681375633716161/910253284416 |
j-invariant |
L |
1.10731868755 |
L(r)(E,1)/r! |
Ω |
0.036910622919359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113526e1 |
Quadratic twists by: -3 |