Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ce |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-313600000000000 = -1 · 217 · 511 · 72 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 1 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24033,-1660063] |
[a1,a2,a3,a4,a6] |
j |
-15298178/3125 |
j-invariant |
L |
3.0341869075265 |
L(r)(E,1)/r! |
Ω |
0.1896366836671 |
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 |
78400in1 9800j1 15680t1 78400k1 |
Quadratic twists by: -4 8 5 -7 |