Atkin-Lehner |
2+ 5+ 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
97850c |
Isogeny class |
Conductor |
97850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1762176 |
Modular degree for the optimal curve |
Δ |
-1418418884277343750 = -1 · 2 · 519 · 192 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 5 5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,125124,-54699352] |
[a1,a2,a3,a4,a6] |
Generators |
[245898:3587624:729] |
Generators of the group modulo torsion |
j |
13865340340771919/90778808593750 |
j-invariant |
L |
2.7492169870114 |
L(r)(E,1)/r! |
Ω |
0.13461005790662 |
Real period |
R |
2.5529453574017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19570g1 |
Quadratic twists by: 5 |