Atkin-Lehner |
2- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98758d |
Isogeny class |
Conductor |
98758 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1627296 |
Modular degree for the optimal curve |
Δ |
-393073511874828488 = -1 · 23 · 112 · 678 |
Discriminant |
Eigenvalues |
2- 1 0 -4 11+ -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-720578,237298700] |
[a1,a2,a3,a4,a6] |
j |
-101898625/968 |
j-invariant |
L |
0.60320452888417 |
L(r)(E,1)/r! |
Ω |
0.30160244567305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98758c1 |
Quadratic twists by: -67 |