Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600bj |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-12597508177920000 = -1 · 228 · 36 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -2 -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177808,-29300288] |
[a1,a2,a3,a4,a6] |
Generators |
[2072:92160:1] |
Generators of the group modulo torsion |
j |
-242851102993825/4920901632 |
j-invariant |
L |
7.0102259237922 |
L(r)(E,1)/r! |
Ω |
0.11610747177527 |
Real period |
R |
2.5157101986206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998611257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450bi1 123600ck1 |
Quadratic twists by: -4 5 |