Atkin-Lehner |
2+ 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010f |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
20670270465600 = 26 · 33 · 52 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56277,-5157459] |
[a1,a2,a3,a4,a6] |
Generators |
[307:2419:1] |
Generators of the group modulo torsion |
j |
167548422911689/175694400 |
j-invariant |
L |
2.9424399825379 |
L(r)(E,1)/r! |
Ω |
0.30998676940455 |
Real period |
R |
2.3730367473908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430l1 |
Quadratic twists by: -7 |