Atkin-Lehner |
3+ 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
101283m |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-66388271859 = -1 · 32 · 77 · 132 · 53 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 3 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-740896,245708973] |
[a1,a2,a3,a4,a6] |
Generators |
[1706:78935:8] [3978:9:8] |
Generators of the group modulo torsion |
j |
-382303090200088576/564291 |
j-invariant |
L |
18.208998692694 |
L(r)(E,1)/r! |
Ω |
0.70552753705194 |
Real period |
R |
3.226131819492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14469l1 |
Quadratic twists by: -7 |