Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3525l |
Isogeny class |
Conductor |
3525 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-10976540185546875 = -1 · 314 · 511 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 2 -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-144533,21693719] |
[a1,a2,a3,a4,a6] |
Generators |
[103:2812:1] |
Generators of the group modulo torsion |
j |
-21370158463320064/702498571875 |
j-invariant |
L |
3.3342131345111 |
L(r)(E,1)/r! |
Ω |
0.40243470685011 |
Real period |
R |
0.14794827395765 |
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 |
56400bg1 10575e1 705a1 |
Quadratic twists by: -4 -3 5 |