Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
72100i |
Isogeny class |
Conductor |
72100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
85680 |
Modular degree for the optimal curve |
Δ |
-464143750000 = -1 · 24 · 58 · 7 · 1032 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -3 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1042,-30463] |
[a1,a2,a3,a4,a6] |
Generators |
[28:141:1] |
Generators of the group modulo torsion |
j |
20000000/74263 |
j-invariant |
L |
10.068493884336 |
L(r)(E,1)/r! |
Ω |
0.47577612715981 |
Real period |
R |
3.5270418545055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72100b1 |
Quadratic twists by: 5 |