Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258f |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
889178578956288 = 212 · 317 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -1 1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-182601,-29953395] |
[a1,a2,a3,a4,a6] |
j |
549464024729857/725594112 |
j-invariant |
L |
1.847770722421 |
L(r)(E,1)/r! |
Ω |
0.23097134030271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086q1 30258h1 |
Quadratic twists by: -3 41 |