Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360x |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-2071344441600000 = -1 · 211 · 313 · 55 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31744,247200] |
[a1,a2,a3,a4,a6] |
j |
1727289090422782/1011398653125 |
j-invariant |
L |
3.6601088043154 |
L(r)(E,1)/r! |
Ω |
0.28154683110118 |
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 |
48720b1 73080r1 121800b1 |
Quadratic twists by: -4 -3 5 |