Atkin-Lehner |
2+ 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350bh |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
300800 |
Modular degree for the optimal curve |
Δ |
-42834000000000 = -1 · 210 · 3 · 59 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 5 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7549,188798] |
[a1,a2,a3,a4,a6] |
j |
24363778699/21931008 |
j-invariant |
L |
3.3513590930247 |
L(r)(E,1)/r! |
Ω |
0.41891987013655 |
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 |
97350cc1 |
Quadratic twists by: 5 |