Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800co |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-150908652224000 = -1 · 29 · 53 · 119 |
Discriminant |
Eigenvalues |
2- -3 5- -3 11- -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13915,865150] |
[a1,a2,a3,a4,a6] |
Generators |
[209:-2662:1] [25:730:1] |
Generators of the group modulo torsion |
j |
-2628072/1331 |
j-invariant |
L |
6.3505644490331 |
L(r)(E,1)/r! |
Ω |
0.53846985904353 |
Real period |
R |
0.73710769767864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800cn1 96800bg1 8800m1 |
Quadratic twists by: -4 5 -11 |