Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840cb |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
68640768 |
Modular degree for the optimal curve |
Δ |
-8.6650955029493E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1231025441,47771791051359] |
[a1,a2,a3,a4,a6] |
Generators |
[692839:576000000:1] |
Generators of the group modulo torsion |
j |
-787018381229524347427258441/3305471612148000000000000 |
j-invariant |
L |
8.8606803774659 |
L(r)(E,1)/r! |
Ω |
0.024487081084294 |
Real period |
R |
2.1538763612482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840f1 18960l1 |
Quadratic twists by: -4 8 |