Atkin-Lehner |
2- 3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184bm |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
70251231187501056 = 216 · 39 · 7 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2069287192,-36230222404880] |
[a1,a2,a3,a4,a6] |
Generators |
[-40348527001959577731367921957291426566311782271559990:-1996433403337676779448067055087866601273100051362:1536326052690983604973096587225607929892501094625] |
Generators of the group modulo torsion |
j |
239235747107228434812707707033/17151179489136 |
j-invariant |
L |
6.560926140878 |
L(r)(E,1)/r! |
Ω |
0.022384343528843 |
Real period |
R |
73.275838368956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999922079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398q4 |
Quadratic twists by: -4 |