Atkin-Lehner |
3- 7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
101283x |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-20157038811 = -1 · 38 · 73 · 132 · 53 |
Discriminant |
Eigenvalues |
-2 3- -3 7- -3 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-772,10462] |
[a1,a2,a3,a4,a6] |
Generators |
[2:94:1] [20:58:1] |
Generators of the group modulo torsion |
j |
-148540174336/58766877 |
j-invariant |
L |
5.4129969438566 |
L(r)(E,1)/r! |
Ω |
1.1415435943136 |
Real period |
R |
0.14818194882715 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101283c1 |
Quadratic twists by: -7 |