Atkin-Lehner |
2+ 3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606n |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
3.0627272550679E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254948328,1566909702144] |
[a1,a2,a3,a4,a6] |
Generators |
[9213:-5457:1] |
Generators of the group modulo torsion |
j |
2513927154888309323388419713/420127195482566208 |
j-invariant |
L |
4.0289963466843 |
L(r)(E,1)/r! |
Ω |
0.13537133180235 |
Real period |
R |
1.4881276164374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20202j1 |
Quadratic twists by: -3 |