Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568o |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-1948160873401344 = -1 · 210 · 313 · 75 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8709,-2100422] |
[a1,a2,a3,a4,a6] |
Generators |
[227:-3402:1] |
Generators of the group modulo torsion |
j |
97859073308/2609740539 |
j-invariant |
L |
8.8540817136069 |
L(r)(E,1)/r! |
Ω |
0.22587326625309 |
Real period |
R |
0.48999168092124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35784l1 23856m1 |
Quadratic twists by: -4 -3 |