Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15170k |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
314160 |
Modular degree for the optimal curve |
Δ |
-73788499288033280 = -1 · 211 · 5 · 37 · 417 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 2 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-485598,-130778259] |
[a1,a2,a3,a4,a6] |
Generators |
[813:2955:1] |
Generators of the group modulo torsion |
j |
-12663493791646606286769/73788499288033280 |
j-invariant |
L |
4.6188862652585 |
L(r)(E,1)/r! |
Ω |
0.090395982395862 |
Real period |
R |
0.66358630464084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121360r1 75850f1 |
Quadratic twists by: -4 5 |