Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104h |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3150140448236544 = 210 · 32 · 72 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44024,2327424] |
[a1,a2,a3,a4,a6] |
j |
381775972/127449 |
j-invariant |
L |
1.6538100832086 |
L(r)(E,1)/r! |
Ω |
0.41345252562176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48552bc2 5712j2 |
Quadratic twists by: -4 17 |