Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050bv |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
572544 |
Modular degree for the optimal curve |
Δ |
9989468829398450 = 2 · 52 · 710 · 294 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 2 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127303,-16818873] |
[a1,a2,a3,a4,a6] |
Generators |
[-702414364:2870176335:3241792] |
Generators of the group modulo torsion |
j |
32308696105/1414562 |
j-invariant |
L |
7.7605431469348 |
L(r)(E,1)/r! |
Ω |
0.25343334590942 |
Real period |
R |
15.310816973536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050bf1 71050bk1 |
Quadratic twists by: 5 -7 |