Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1950m |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
3240 |
Modular degree for the optimal curve |
Δ |
-799621875000 = -1 · 23 · 39 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,299,-42952] |
[a1,a2,a3,a4,a6] |
j |
7604375/2047032 |
j-invariant |
L |
1.2616531427029 |
L(r)(E,1)/r! |
Ω |
0.42055104756764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
15600bx1 62400bm1 5850cc1 1950o1 |
Quadratic twists by: -4 8 -3 5 |