Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fv |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
157315969843200000 = 226 · 37 · 55 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153867,-13248326] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:3150:1] |
Generators of the group modulo torsion |
j |
393349474783/153600000 |
j-invariant |
L |
6.4490035486262 |
L(r)(E,1)/r! |
Ω |
0.2492180996587 |
Real period |
R |
1.2938473484585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4410bm1 11760ck1 35280es1 |
Quadratic twists by: -4 -3 -7 |