Atkin-Lehner |
2- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
72100b |
Isogeny class |
Conductor |
72100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17136 |
Modular degree for the optimal curve |
Δ |
-29705200 = -1 · 24 · 52 · 7 · 1032 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42,-227] |
[a1,a2,a3,a4,a6] |
Generators |
[219:-721:27] [177:2363:1] |
Generators of the group modulo torsion |
j |
20000000/74263 |
j-invariant |
L |
6.7810591219961 |
L(r)(E,1)/r! |
Ω |
1.0638677624009 |
Real period |
R |
3.1869840226604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72100i1 |
Quadratic twists by: 5 |