Atkin-Lehner |
3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975bq |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1551360 |
Modular degree for the optimal curve |
Δ |
-145289334076171875 = -1 · 39 · 59 · 194 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- -2 -3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-465375,123563281] |
[a1,a2,a3,a4,a6] |
Generators |
[4850:64121:8] |
Generators of the group modulo torsion |
j |
-7828441174016/102041343 |
j-invariant |
L |
11.558020965435 |
L(r)(E,1)/r! |
Ω |
0.32724614801036 |
Real period |
R |
1.1037201096459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41325i1 123975br1 |
Quadratic twists by: -3 5 |