Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520ca |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
23976000000000000 = 215 · 34 · 512 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148705,-20726975] |
[a1,a2,a3,a4,a6] |
j |
11098222096711112/731689453125 |
j-invariant |
L |
2.9295010981188 |
L(r)(E,1)/r! |
Ω |
0.24412509151114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35520cz3 17760j2 106560ep3 |
Quadratic twists by: -4 8 -3 |