Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200bd |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
274560 |
Modular degree for the optimal curve |
Δ |
-67537293750000 = -1 · 24 · 311 · 58 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 5 5 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,792,-395037] |
[a1,a2,a3,a4,a6] |
Generators |
[333:6075:1] |
Generators of the group modulo torsion |
j |
8779520/10805967 |
j-invariant |
L |
7.5998594544443 |
L(r)(E,1)/r! |
Ω |
0.28775470925879 |
Real period |
R |
0.80033015583325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600d1 73200i1 |
Quadratic twists by: -4 5 |