Atkin-Lehner |
2+ 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752h |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1689600 |
Modular degree for the optimal curve |
Δ |
-618954496661424816 = -1 · 24 · 328 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 1 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,190446,20234729] |
[a1,a2,a3,a4,a6] |
Generators |
[50420:1594323:125] [616:19269:1] |
Generators of the group modulo torsion |
j |
65492529975339008/53065371798819 |
j-invariant |
L |
9.9579419499829 |
L(r)(E,1)/r! |
Ω |
0.1864734795081 |
Real period |
R |
6.675173041288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584p1 |
Quadratic twists by: -3 |