Atkin-Lehner |
3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35475i |
Isogeny class |
Conductor |
35475 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
57120 |
Modular degree for the optimal curve |
Δ |
-1112034825 = -1 · 37 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
1 3- 5+ -3 11- 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37096,-2753077] |
[a1,a2,a3,a4,a6] |
j |
-225812574787268065/44481393 |
j-invariant |
L |
2.4080595428069 |
L(r)(E,1)/r! |
Ω |
0.17200425305687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106425k1 35475d1 |
Quadratic twists by: -3 5 |