Atkin-Lehner |
2- 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950bs |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
49387851562500 = 22 · 35 · 510 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-658088,-205536708] |
[a1,a2,a3,a4,a6] |
Generators |
[1492:45454:1] |
Generators of the group modulo torsion |
j |
2017231040668584889/3160822500 |
j-invariant |
L |
11.891299074176 |
L(r)(E,1)/r! |
Ω |
0.16762106634524 |
Real period |
R |
3.5470777428595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190a1 |
Quadratic twists by: 5 |