Atkin-Lehner |
2- 3+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010be |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
230 |
Product of Tamagawa factors cp |
deg |
1457280 |
Modular degree for the optimal curve |
Δ |
6.3369589770242E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 -3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1370603,484858171] |
[a1,a2,a3,a4,a6] |
Generators |
[331:8042:1] |
Generators of the group modulo torsion |
j |
14466622763809223883/3219508701429760 |
j-invariant |
L |
7.9444709323695 |
L(r)(E,1)/r! |
Ω |
0.18532260444706 |
Real period |
R |
0.18638405212327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53010d1 |
Quadratic twists by: -3 |