Atkin-Lehner |
2+ 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10602b |
Isogeny class |
Conductor |
10602 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-153766488672 = -1 · 25 · 36 · 193 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 0 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8421,300149] |
[a1,a2,a3,a4,a6] |
j |
-90597496156497/210927968 |
j-invariant |
L |
2.0575847546383 |
L(r)(E,1)/r! |
Ω |
1.0287923773191 |
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 |
84816v1 1178b1 |
Quadratic twists by: -4 -3 |