Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
10650f |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
54126880530000 = 24 · 3 · 54 · 715 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -3 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26375,-1621275] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:185:1] |
Generators of the group modulo torsion |
j |
3246734888118025/86603008848 |
j-invariant |
L |
3.1205971994665 |
L(r)(E,1)/r! |
Ω |
0.37523763974572 |
Real period |
R |
0.27721074761949 |
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 |
85200dr1 31950cq1 10650bg2 |
Quadratic twists by: -4 -3 5 |