Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1470j |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-70560 = -1 · 25 · 32 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 -7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36,69] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
-105484561/1440 |
j-invariant |
L |
3.2335739002322 |
L(r)(E,1)/r! |
Ω |
3.4745760259858 |
Real period |
R |
0.093063840769314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11760cf1 47040dg1 4410p1 7350x1 |
Quadratic twists by: -4 8 -3 5 |