Atkin-Lehner |
3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
101175p |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-9245181796875 = -1 · 35 · 57 · 193 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5+ 5 1 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9508,-388856] |
[a1,a2,a3,a4,a6] |
Generators |
[128:712:1] |
Generators of the group modulo torsion |
j |
-6084387721216/591691635 |
j-invariant |
L |
5.5703801837049 |
L(r)(E,1)/r! |
Ω |
0.24040992116662 |
Real period |
R |
0.77234473886689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20235i1 |
Quadratic twists by: 5 |