Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114400q |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-2652370471489024000 = -1 · 212 · 53 · 119 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,301960,-45396400] |
[a1,a2,a3,a4,a6] |
Generators |
[680:21780:1] |
Generators of the group modulo torsion |
j |
5947055633419776/5180411077127 |
j-invariant |
L |
6.9363902920686 |
L(r)(E,1)/r! |
Ω |
0.14095099824199 |
Real period |
R |
1.3669822151679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114400l1 114400bl1 |
Quadratic twists by: -4 5 |