Atkin-Lehner |
2- 3+ 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24738i |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3191795712 = -1 · 212 · 33 · 72 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,182,-2473] |
[a1,a2,a3,a4,a6] |
Generators |
[25:123:1] |
Generators of the group modulo torsion |
j |
666482465375/3191795712 |
j-invariant |
L |
7.3817342923632 |
L(r)(E,1)/r! |
Ω |
0.71426123253906 |
Real period |
R |
1.7224637047061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74214h1 |
Quadratic twists by: -3 |