Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600v |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-23384605200000000 = -1 · 210 · 3 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-267208,53760412] |
[a1,a2,a3,a4,a6] |
Generators |
[642:12100:1] |
Generators of the group modulo torsion |
j |
-2977540/33 |
j-invariant |
L |
3.7004295799971 |
L(r)(E,1)/r! |
Ω |
0.38134794591843 |
Real period |
R |
0.80862932377733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600dt1 6600z1 |
Quadratic twists by: 5 -11 |