Atkin-Lehner |
3+ 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
75225k |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
987840 |
Modular degree for the optimal curve |
Δ |
-893484506135401875 = -1 · 310 · 54 · 177 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -4 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,210300,26362575] |
[a1,a2,a3,a4,a6] |
Generators |
[174:8175:1] [2038:77589:8] |
Generators of the group modulo torsion |
j |
1645728863652734375/1429575209816643 |
j-invariant |
L |
9.6216013785737 |
L(r)(E,1)/r! |
Ω |
0.18223059785445 |
Real period |
R |
3.7713602952616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75225n1 |
Quadratic twists by: 5 |