Atkin-Lehner |
2- 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60900k |
Isogeny class |
Conductor |
60900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-172651500000000 = -1 · 28 · 35 · 59 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97333,11737537] |
[a1,a2,a3,a4,a6] |
j |
-203956944896/345303 |
j-invariant |
L |
2.2866702274412 |
L(r)(E,1)/r! |
Ω |
0.57166755720415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60900ba1 |
Quadratic twists by: 5 |