Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25215a |
Isogeny class |
Conductor |
25215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-266204748111091875 = -1 · 37 · 54 · 417 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 1 4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,132239,-16585758] |
[a1,a2,a3,a4,a6] |
Generators |
[181896:2667922:1331] |
Generators of the group modulo torsion |
j |
53838872576/56041875 |
j-invariant |
L |
3.7231751275619 |
L(r)(E,1)/r! |
Ω |
0.16815067296718 |
Real period |
R |
5.5354746161032 |
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 |
75645n1 126075r1 615b1 |
Quadratic twists by: -3 5 41 |