Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520p |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1511424 |
Modular degree for the optimal curve |
Δ |
-213973303473198080 = -1 · 210 · 5 · 72 · 318 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -6 -4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64920,23169952] |
[a1,a2,a3,a4,a6] |
Generators |
[-38094:1847042:343] |
Generators of the group modulo torsion |
j |
-603073018541476/4264455187205 |
j-invariant |
L |
2.7229375856384 |
L(r)(E,1)/r! |
Ω |
0.27148436472109 |
Real period |
R |
2.5074534242212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999948103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60760l1 121520b1 |
Quadratic twists by: -4 -7 |