Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bi |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-889593652170720000 = -1 · 28 · 39 · 54 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35121828,-80115002548] |
[a1,a2,a3,a4,a6] |
Generators |
[2296714730573:-1258566230984175:7645373] |
Generators of the group modulo torsion |
j |
-90888126966784/16875 |
j-invariant |
L |
4.8766113043744 |
L(r)(E,1)/r! |
Ω |
0.031008108588453 |
Real period |
R |
19.65861320783 |
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 |
17640cc1 11760l1 35280bz1 |
Quadratic twists by: -4 -3 -7 |