Atkin-Lehner |
2+ 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240d |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-20029051440 = -1 · 24 · 35 · 5 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 1 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1555,25090] |
[a1,a2,a3,a4,a6] |
j |
-26006036555776/1251815715 |
j-invariant |
L |
1.2036867725271 |
L(r)(E,1)/r! |
Ω |
1.2036867725272 |
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 |
12120p1 96960dl1 72720o1 121200bc1 |
Quadratic twists by: -4 8 -3 5 |