Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992m |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8601600 |
Modular degree for the optimal curve |
Δ |
-4.2442366536883E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -5 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24620172,-48053596432] |
[a1,a2,a3,a4,a6] |
j |
-233181060948366864507/5996473317588992 |
j-invariant |
L |
2.1655460219405 |
L(r)(E,1)/r! |
Ω |
0.033836648441135 |
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 |
124992dn1 3906a1 124992n1 |
Quadratic twists by: -4 8 -3 |