Atkin-Lehner |
2- 3- 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178bp |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
780 |
Product of Tamagawa factors cp |
deg |
13178880 |
Modular degree for the optimal curve |
Δ |
9.4492602771975E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30546038,45119562373] |
[a1,a2,a3,a4,a6] |
Generators |
[1321:83435:1] |
Generators of the group modulo torsion |
j |
4323752573967079063256601/1296194825404320579584 |
j-invariant |
L |
8.9625117811558 |
L(r)(E,1)/r! |
Ω |
0.081861415770093 |
Real period |
R |
0.14036404838415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242b1 |
Quadratic twists by: -3 |