Atkin-Lehner |
2- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49856h |
Isogeny class |
Conductor |
49856 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.5327326025415E+22 |
Discriminant |
Eigenvalues |
2- 0 2 2 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6425164,8647309968] |
[a1,a2,a3,a4,a6] |
Generators |
[-5082662:231779328:2197] |
Generators of the group modulo torsion |
j |
-111901637620233904617/58469108678494208 |
j-invariant |
L |
7.3728628398627 |
L(r)(E,1)/r! |
Ω |
0.1157410807228 |
Real period |
R |
3.9813342385656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49856a2 12464b2 |
Quadratic twists by: -4 8 |