Atkin-Lehner |
2+ 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760u |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6512640 |
Modular degree for the optimal curve |
Δ |
6.7595954888908E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6219822,5838052961] |
[a1,a2,a3,a4,a6] |
Generators |
[1003907476:80206698285:140608] |
Generators of the group modulo torsion |
j |
2281445347419190994944/57952636221629325 |
j-invariant |
L |
9.5805097880487 |
L(r)(E,1)/r! |
Ω |
0.16094328410397 |
Real period |
R |
14.881810455196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920x1 |
Quadratic twists by: -3 |