Atkin-Lehner |
2+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81400f |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-14263884800 = -1 · 210 · 52 · 11 · 373 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 11- 1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-955,-12730] |
[a1,a2,a3,a4,a6] |
Generators |
[41319:247456:729] |
Generators of the group modulo torsion |
j |
-3762650340/557183 |
j-invariant |
L |
13.453189542794 |
L(r)(E,1)/r! |
Ω |
0.42591993789238 |
Real period |
R |
5.2643655719922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81400w1 |
Quadratic twists by: 5 |