Atkin-Lehner |
2+ 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
98294g |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-41221066952382464 = -1 · 211 · 78 · 17 · 593 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 2 -5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65000,-11671754] |
[a1,a2,a3,a4,a6] |
Generators |
[2299870288679372:21017558622895190:6359387729183] |
Generators of the group modulo torsion |
j |
-258146319402217/350373287936 |
j-invariant |
L |
6.8304363981322 |
L(r)(E,1)/r! |
Ω |
0.1423891575787 |
Real period |
R |
23.985100109737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14042c1 |
Quadratic twists by: -7 |