Atkin-Lehner |
5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71995bb |
Isogeny class |
Conductor |
71995 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
12127104 |
Modular degree for the optimal curve |
Δ |
2.093382987515E+22 |
Discriminant |
Eigenvalues |
0 -3 5- 7- 11- -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37377142,-87678430095] |
[a1,a2,a3,a4,a6] |
Generators |
[-3467:-15313:1] |
Generators of the group modulo torsion |
j |
26940180570555580416/97657861328125 |
j-invariant |
L |
3.3376169996471 |
L(r)(E,1)/r! |
Ω |
0.0610720795529 |
Real period |
R |
0.82803721305481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71995r1 |
Quadratic twists by: -11 |