Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520i |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-490046914068480 = -1 · 215 · 310 · 5 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16801,-1349759] |
[a1,a2,a3,a4,a6] |
Generators |
[189:1480:1] [205:1944:1] |
Generators of the group modulo torsion |
j |
-16006818542408/14955044985 |
j-invariant |
L |
6.5226811555057 |
L(r)(E,1)/r! |
Ω |
0.20191445048941 |
Real period |
R |
1.3460075830168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520bb1 17760y1 106560dj1 |
Quadratic twists by: -4 8 -3 |