Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450df |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
32892182568000 = 26 · 310 · 53 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10493,307377] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:679:1] |
Generators of the group modulo torsion |
j |
1022151580532837/263137460544 |
j-invariant |
L |
10.337480428516 |
L(r)(E,1)/r! |
Ω |
0.61437985143303 |
Real period |
R |
0.14021565003589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350cu1 30450o1 |
Quadratic twists by: -3 5 |