Atkin-Lehner |
2+ 3- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050ba |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1013006250000 = 24 · 35 · 58 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-84251,9405398] |
[a1,a2,a3,a4,a6] |
Generators |
[147:376:1] [-78:3976:1] |
Generators of the group modulo torsion |
j |
4232738799154081/64832400 |
j-invariant |
L |
8.4671831246772 |
L(r)(E,1)/r! |
Ω |
0.80253106156253 |
Real period |
R |
1.0550598638563 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010u1 |
Quadratic twists by: 5 |