Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640bl |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
3691560497397760 = 214 · 5 · 133 · 295 |
Discriminant |
Eigenvalues |
2+ 3 5- -3 -4 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-380992,-90468064] |
[a1,a2,a3,a4,a6] |
Generators |
[-540346142194290:324600514457687:1521668638008] |
Generators of the group modulo torsion |
j |
373294286161772544/225314971765 |
j-invariant |
L |
12.551117890428 |
L(r)(E,1)/r! |
Ω |
0.19217032498262 |
Real period |
R |
21.770822127997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640cw1 7540c1 |
Quadratic twists by: -4 8 |