Atkin-Lehner |
3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
41475r |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
639360 |
Modular degree for the optimal curve |
Δ |
4539071446751953125 = 36 · 59 · 79 · 79 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 1 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1204833,498195119] |
[a1,a2,a3,a4,a6] |
j |
99031782519996416/2324004580737 |
j-invariant |
L |
2.9330569404792 |
L(r)(E,1)/r! |
Ω |
0.24442141169799 |
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 |
124425w1 41475k1 |
Quadratic twists by: -3 5 |