Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950t |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-8064133056000000 = -1 · 212 · 32 · 56 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1200,-4320000] |
[a1,a2,a3,a4,a6] |
Generators |
[195:1740:1] |
Generators of the group modulo torsion |
j |
103823/4386816 |
j-invariant |
L |
3.5311107043437 |
L(r)(E,1)/r! |
Ω |
0.19118355848662 |
Real period |
R |
1.1543587959126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998481416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998bl1 17850s1 |
Quadratic twists by: 5 -7 |