Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768by |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-5008490496 = -1 · 215 · 35 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 0 -7 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4385,-110367] |
[a1,a2,a3,a4,a6] |
j |
-284630612552/152847 |
j-invariant |
L |
0.58665793035182 |
L(r)(E,1)/r! |
Ω |
0.2933289436536 |
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 |
120768da1 60384o1 |
Quadratic twists by: -4 8 |