Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19698c |
Isogeny class |
Conductor |
19698 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-73583672463504 = -1 · 24 · 35 · 710 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -2 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3651,-422883] |
[a1,a2,a3,a4,a6] |
j |
-19061833/260496 |
j-invariant |
L |
2.0995198540115 |
L(r)(E,1)/r! |
Ω |
0.26243998175144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094bu1 19698f1 |
Quadratic twists by: -3 -7 |