Atkin-Lehner |
3+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545k |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-399898003941975375 = -1 · 35 · 53 · 196 · 234 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,164789,-16140592] |
[a1,a2,a3,a4,a6] |
j |
10519294081031/8500170375 |
j-invariant |
L |
1.3301217565739 |
L(r)(E,1)/r! |
Ω |
0.16626545825519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
345c1 |
Quadratic twists by: -19 |