Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800cp |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1.32632423693E+19 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 11- 6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1945375,-1058963750] |
[a1,a2,a3,a4,a6] |
j |
-8142048846461520/132632423693 |
j-invariant |
L |
0.31927768556149 |
L(r)(E,1)/r! |
Ω |
0.063855537113378 |
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 |
7700k1 123200ha1 30800cc1 |
Quadratic twists by: -4 8 5 |