Atkin-Lehner |
3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075j |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
222650299072265625 = 33 · 516 · 11 · 173 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162567,11045216] |
[a1,a2,a3,a4,a6] |
Generators |
[7982:228059:8] |
Generators of the group modulo torsion |
j |
1126259840967507/527763671875 |
j-invariant |
L |
7.3777806297228 |
L(r)(E,1)/r! |
Ω |
0.2811836028112 |
Real period |
R |
4.3730505358796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42075c1 8415d1 |
Quadratic twists by: -3 5 |