Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810by |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
19482674400 = 25 · 32 · 52 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-192326,32384099] |
[a1,a2,a3,a4,a6] |
Generators |
[251:-175:1] |
Generators of the group modulo torsion |
j |
6687281588245201/165600 |
j-invariant |
L |
6.0888408465425 |
L(r)(E,1)/r! |
Ω |
0.88610510183095 |
Real period |
R |
0.34357328684607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430ck2 690j2 |
Quadratic twists by: -3 -7 |