Atkin-Lehner |
2- 3+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270s |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
8173440 |
Modular degree for the optimal curve |
Δ |
-9.3730862597249E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9139417,10189496927] |
[a1,a2,a3,a4,a6] |
j |
3126910651873464559298733/3471513429527756800000 |
j-invariant |
L |
3.1284854352306 |
L(r)(E,1)/r! |
Ω |
0.071101941974004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72270c2 |
Quadratic twists by: -3 |