Atkin-Lehner |
2- 3- 7- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98406m |
Isogeny class |
Conductor |
98406 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-385667429317632 = -1 · 210 · 36 · 7 · 114 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5000,955851] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:827:1] |
Generators of the group modulo torsion |
j |
-18959407629625/529036254208 |
j-invariant |
L |
11.417978080379 |
L(r)(E,1)/r! |
Ω |
0.44710029280626 |
Real period |
R |
0.63844613040146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934c1 |
Quadratic twists by: -3 |