Atkin-Lehner |
3+ 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
101283d |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-70294624163455419 = -1 · 34 · 713 · 132 · 53 |
Discriminant |
Eigenvalues |
0 3+ -1 7- -3 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2666841,1677207125] |
[a1,a2,a3,a4,a6] |
Generators |
[1097:8403:1] |
Generators of the group modulo torsion |
j |
-17829000819050807296/597494446731 |
j-invariant |
L |
3.9936376363872 |
L(r)(E,1)/r! |
Ω |
0.3236197472557 |
Real period |
R |
0.7712828267574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999525768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14469g1 |
Quadratic twists by: -7 |