Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960q |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-2269084363756943040 = -1 · 26 · 320 · 5 · 75 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104466,-73665036] |
[a1,a2,a3,a4,a6] |
Generators |
[582:7938:1] |
Generators of the group modulo torsion |
j |
-1970029788560652736/35454443183702235 |
j-invariant |
L |
6.5596391484914 |
L(r)(E,1)/r! |
Ω |
0.11160565137673 |
Real period |
R |
0.58775152221899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960e1 73920fw2 110880dv1 |
Quadratic twists by: -4 8 -3 |