Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960ch |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
Δ |
2389740606540000000 = 28 · 32 · 57 · 710 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19600140,-33392646900] |
[a1,a2,a3,a4,a6] |
Generators |
[13905:1543500:1] |
Generators of the group modulo torsion |
j |
3252829420447766192295376/9334924244296875 |
j-invariant |
L |
5.8111500549035 |
L(r)(E,1)/r! |
Ω |
0.071752136012249 |
Real period |
R |
2.3139779238172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740t2 |
Quadratic twists by: -4 |