Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200l |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-20676300000000 = -1 · 28 · 3 · 58 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -5 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29708,1992912] |
[a1,a2,a3,a4,a6] |
j |
-28997367760/206763 |
j-invariant |
L |
1.3718254166549 |
L(r)(E,1)/r! |
Ω |
0.68591270830706 |
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 |
24600bh1 49200u1 |
Quadratic twists by: -4 5 |