Atkin-Lehner |
2- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
48598g |
Isogeny class |
Conductor |
48598 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
-2.1388895236571E+22 |
Discriminant |
Eigenvalues |
2- 0 0 -5 11+ -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1976365,-7116738027] |
[a1,a2,a3,a4,a6] |
Generators |
[2691:82596:1] |
Generators of the group modulo torsion |
j |
-79202305058625/1984272007168 |
j-invariant |
L |
6.0942020397517 |
L(r)(E,1)/r! |
Ω |
0.052415426450398 |
Real period |
R |
3.2296482439779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1034b1 |
Quadratic twists by: -47 |