Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010dr |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
392832 |
Modular degree for the optimal curve |
Δ |
22132434401280 = 211 · 312 · 5 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15135,-681255] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:201:1] |
Generators of the group modulo torsion |
j |
7824862258847809/451682334720 |
j-invariant |
L |
15.151870529846 |
L(r)(E,1)/r! |
Ω |
0.43198248968625 |
Real period |
R |
0.26572118263717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010bl1 |
Quadratic twists by: -7 |