Atkin-Lehner |
2+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24272a |
Isogeny class |
Conductor |
24272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
57476096 = 210 · 372 · 41 |
Discriminant |
Eigenvalues |
2+ 2 2 0 -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112,-240] |
[a1,a2,a3,a4,a6] |
Generators |
[30:150:1] |
Generators of the group modulo torsion |
j |
153091012/56129 |
j-invariant |
L |
8.6769200133551 |
L(r)(E,1)/r! |
Ω |
1.5115707827394 |
Real period |
R |
2.870166621516 |
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 |
12136a1 97088n1 |
Quadratic twists by: -4 8 |