Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075bt |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
8723771128283203125 = 321 · 59 · 7 · 61 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 5 -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3776925,2821665906] |
[a1,a2,a3,a4,a6] |
j |
523107854001270784/765872911125 |
j-invariant |
L |
1.8524329769055 |
L(r)(E,1)/r! |
Ω |
0.23155411003129 |
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 |
32025ba1 19215s1 |
Quadratic twists by: -3 5 |