Atkin-Lehner |
3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475h |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19160064 |
Modular degree for the optimal curve |
Δ |
-1.4873632629339E+23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 6 -4 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9177075,21419570406] |
[a1,a2,a3,a4,a6] |
j |
-202606215767493783552/352560180843579625 |
j-invariant |
L |
1.472875564913 |
L(r)(E,1)/r! |
Ω |
0.092054716887361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83475j1 16695b1 |
Quadratic twists by: -3 5 |