Atkin-Lehner |
2- 3- 5- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870bm |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
18078720 |
Modular degree for the optimal curve |
Δ |
-2.9104168996497E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31852813,-44158119469] |
[a1,a2,a3,a4,a6] |
Generators |
[1419:61714:1] |
Generators of the group modulo torsion |
j |
4902748014936829569074711/3992341426131282001920 |
j-invariant |
L |
11.973576538844 |
L(r)(E,1)/r! |
Ω |
0.044526243328838 |
Real period |
R |
0.40744022473704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290n1 |
Quadratic twists by: -3 |