Atkin-Lehner |
2+ 3- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870u |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-57667234037760 = -1 · 224 · 36 · 5 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -7 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9621,37125] |
[a1,a2,a3,a4,a6] |
Generators |
[40806:610381:729] |
Generators of the group modulo torsion |
j |
135092561393231/79104573440 |
j-invariant |
L |
3.8892318397503 |
L(r)(E,1)/r! |
Ω |
0.37946241157513 |
Real period |
R |
5.1246602085946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9430g1 |
Quadratic twists by: -3 |