Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10248b |
Isogeny class |
Conductor |
10248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
-1487517696 = -1 · 211 · 35 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 -4 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1912,-31604] |
[a1,a2,a3,a4,a6] |
j |
-377645701106/726327 |
j-invariant |
L |
0.72186934601079 |
L(r)(E,1)/r! |
Ω |
0.3609346730054 |
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 |
20496f1 81984bj1 30744h1 71736h1 |
Quadratic twists by: -4 8 -3 -7 |