Atkin-Lehner |
3+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975s |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33920 |
Modular degree for the optimal curve |
Δ |
-83771484375 = -1 · 3 · 59 · 17 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -4 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1075,19000] |
[a1,a2,a3,a4,a6] |
Generators |
[24:76:1] |
Generators of the group modulo torsion |
j |
-70444997/42891 |
j-invariant |
L |
3.593480836162 |
L(r)(E,1)/r! |
Ω |
0.99959909604322 |
Real period |
R |
3.5949220546368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925bw1 36975bd1 |
Quadratic twists by: -3 5 |