Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200es |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-3622993920000 = -1 · 218 · 35 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5208,-169488] |
[a1,a2,a3,a4,a6] |
j |
-6103515625/1415232 |
j-invariant |
L |
1.6654638138139 |
L(r)(E,1)/r! |
Ω |
0.27757726167581 |
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 |
13650bk1 109200fl1 |
Quadratic twists by: -4 5 |