Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640bs |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1324800 |
Modular degree for the optimal curve |
Δ |
-130153244157296640 = -1 · 214 · 35 · 5 · 75 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88800,-20095488] |
[a1,a2,a3,a4,a6] |
j |
-18906343851679201/31775694374340 |
j-invariant |
L |
1.3075871696067 |
L(r)(E,1)/r! |
Ω |
0.13075886153112 |
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 |
15330ba1 |
Quadratic twists by: -4 |