Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ce |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
161989632000 = 213 · 36 · 53 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1512,12096] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:83:1] |
Generators of the group modulo torsion |
j |
4196653397/1777664 |
j-invariant |
L |
6.1232677040283 |
L(r)(E,1)/r! |
Ω |
0.92326462944901 |
Real period |
R |
3.3160956847212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850bc1 97650er1 |
Quadratic twists by: -3 5 |