Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474bq |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2248992 |
Modular degree for the optimal curve |
Δ |
-3137622205959724158 = -1 · 2 · 39 · 13 · 1910 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 4 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-219917,-93959405] |
[a1,a2,a3,a4,a6] |
j |
-9747/26 |
j-invariant |
L |
1.8432326501901 |
L(r)(E,1)/r! |
Ω |
0.10240180696538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474l1 84474c1 |
Quadratic twists by: -3 -19 |