Atkin-Lehner |
2- 3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270bf |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
533120 |
Modular degree for the optimal curve |
Δ |
-370351933593750 = -1 · 2 · 36 · 510 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 6 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1933,924841] |
[a1,a2,a3,a4,a6] |
j |
1096231710231/508027343750 |
j-invariant |
L |
8.3440487135616 |
L(r)(E,1)/r! |
Ω |
0.4172024353902 |
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 |
7030b1 |
Quadratic twists by: -3 |