Atkin-Lehner |
2+ 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350a |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
3376800 = 25 · 32 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-210,-1260] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] |
Generators of the group modulo torsion |
j |
41273276305/135072 |
j-invariant |
L |
2.2765574872817 |
L(r)(E,1)/r! |
Ω |
1.2536065100302 |
Real period |
R |
0.90800321667221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350dn1 |
Quadratic twists by: 5 |