Atkin-Lehner |
3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120099x |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
21611520 |
Modular degree for the optimal curve |
Δ |
-4.6379597930301E+22 |
Discriminant |
Eigenvalues |
-2 3- 3 7- 6 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3955884,10793652314] |
[a1,a2,a3,a4,a6] |
Generators |
[18881:2582128:1] |
Generators of the group modulo torsion |
j |
-58192394268587511808/394220077776277131 |
j-invariant |
L |
6.3185234970436 |
L(r)(E,1)/r! |
Ω |
0.097618545992438 |
Real period |
R |
0.92466672612222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451f1 |
Quadratic twists by: -7 |