Atkin-Lehner |
2+ 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350x |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-3002164300800 = -1 · 210 · 36 · 52 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -4 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40121,3090908] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:2386:1] [78:622:1] |
Generators of the group modulo torsion |
j |
-285682337242324465/120086572032 |
j-invariant |
L |
8.7879135388476 |
L(r)(E,1)/r! |
Ω |
0.7882551778653 |
Real period |
R |
0.46452351269052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350ct1 |
Quadratic twists by: 5 |