Atkin-Lehner |
3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10575u |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24320 |
Modular degree for the optimal curve |
Δ |
-602279296875 = -1 · 38 · 59 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5- 4 0 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4125,-108594] |
[a1,a2,a3,a4,a6] |
Generators |
[75:62:1] |
Generators of the group modulo torsion |
j |
-5451776/423 |
j-invariant |
L |
2.7397608614959 |
L(r)(E,1)/r! |
Ω |
0.2965407118028 |
Real period |
R |
2.3097678939594 |
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 |
3525o1 10575v1 |
Quadratic twists by: -3 5 |