Atkin-Lehner |
2- 5- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
85100h |
Isogeny class |
Conductor |
85100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
106560 |
Modular degree for the optimal curve |
Δ |
-26593750000 = -1 · 24 · 59 · 23 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- -3 0 -5 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5958,175213] |
[a1,a2,a3,a4,a6] |
Generators |
[33:125:1] |
Generators of the group modulo torsion |
j |
-748596992/851 |
j-invariant |
L |
2.5379459348441 |
L(r)(E,1)/r! |
Ω |
1.1837322056627 |
Real period |
R |
1.072010176537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85100j1 |
Quadratic twists by: 5 |