Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200co |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-534117888000 = -1 · 212 · 39 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1747,-21723] |
[a1,a2,a3,a4,a6] |
Generators |
[52:455:1] |
Generators of the group modulo torsion |
j |
1151022592/1043199 |
j-invariant |
L |
7.229553736442 |
L(r)(E,1)/r! |
Ω |
0.50755346073227 |
Real period |
R |
3.5609813433053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000164397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200dr1 127200br1 |
Quadratic twists by: -4 5 |