Atkin-Lehner |
3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103455bg |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
7865088 |
Modular degree for the optimal curve |
Δ |
5.0729598362646E+20 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 11- -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5027187,4200945790] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:73507:1] |
Generators of the group modulo torsion |
j |
89914518605824/3246328125 |
j-invariant |
L |
2.1469646267207 |
L(r)(E,1)/r! |
Ω |
0.16406627240962 |
Real period |
R |
0.15578523327862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34485d1 103455bd1 |
Quadratic twists by: -3 -11 |