Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184cq |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
1709768070056116224 = 230 · 33 · 75 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4416664,-3573561964] |
[a1,a2,a3,a4,a6] |
Generators |
[-1225:294:1] [-1204:462:1] |
Generators of the group modulo torsion |
j |
2326199438189447749657/417423845228544 |
j-invariant |
L |
12.511716832145 |
L(r)(E,1)/r! |
Ω |
0.10414313154002 |
Real period |
R |
4.0046541874302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398b1 |
Quadratic twists by: -4 |