Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
2478c |
Isogeny class |
Conductor |
2478 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1564510557044736 = -1 · 233 · 32 · 73 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2390,-1903768] |
[a1,a2,a3,a4,a6] |
j |
-1508885121286873/1564510557044736 |
j-invariant |
L |
1.2881220452353 |
L(r)(E,1)/r! |
Ω |
0.21468700753922 |
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 |
19824p2 79296i2 7434h2 61950bm2 |
Quadratic twists by: -4 8 -3 5 |