Atkin-Lehner |
2+ 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840f |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
4 |
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] |
j |
-787018381229524347427258441/3305471612148000000000000 |
j-invariant |
L |
0.41768583562782 |
L(r)(E,1)/r! |
Ω |
0.011602384309693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840cb1 2370e1 |
Quadratic twists by: -4 8 |