Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010do |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
20885760 |
Modular degree for the optimal curve |
Δ |
-5744159273484243360 = -1 · 25 · 33 · 5 · 72 · 837 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-312566640,-2126999407968] |
[a1,a2,a3,a4,a6] |
Generators |
[54300849120501462224606497220120628:-14978828076200848847033278911192737868:678310011901066286166592641929] |
Generators of the group modulo torsion |
j |
-68921624431417353829938395089/117227740275188640 |
j-invariant |
L |
14.983251891775 |
L(r)(E,1)/r! |
Ω |
0.017952870694979 |
Real period |
R |
55.639205362908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010bk1 |
Quadratic twists by: -7 |