Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400bo |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28385280 |
Modular degree for the optimal curve |
Δ |
1.366600418427E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-569355408,4917465381312] |
[a1,a2,a3,a4,a6] |
Generators |
[17522:566150:1] |
Generators of the group modulo torsion |
j |
318929057401476905525449/21353131537921474560 |
j-invariant |
L |
2.6557314936481 |
L(r)(E,1)/r! |
Ω |
0.047220444515427 |
Real period |
R |
7.0301421368011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550bm1 8880x1 |
Quadratic twists by: -4 5 |