Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45248bb |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-27811954688 = -1 · 214 · 75 · 101 |
Discriminant |
Eigenvalues |
2- 1 0 7- 6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-318353,69031151] |
[a1,a2,a3,a4,a6] |
Generators |
[329:112:1] |
Generators of the group modulo torsion |
j |
-217787012453554000/1697507 |
j-invariant |
L |
7.6858785798459 |
L(r)(E,1)/r! |
Ω |
0.81818688308123 |
Real period |
R |
0.93937934459649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248b1 11312g1 |
Quadratic twists by: -4 8 |