Atkin-Lehner |
2- 5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bv |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-576254213920 = -1 · 25 · 5 · 76 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 0 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1357,-40939] |
[a1,a2,a3,a4,a6] |
Generators |
[59:256:1] |
Generators of the group modulo torsion |
j |
-2347334289/4898080 |
j-invariant |
L |
11.099045583564 |
L(r)(E,1)/r! |
Ω |
0.36898156188624 |
Real period |
R |
2.0053478078478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530g1 |
Quadratic twists by: -7 |