Atkin-Lehner |
3- 7- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84357h |
Isogeny class |
Conductor |
84357 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
380928 |
Modular degree for the optimal curve |
Δ |
-76605820865847 = -1 · 312 · 72 · 134 · 103 |
Discriminant |
Eigenvalues |
1 3- 4 7- 6 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10530,63423] |
[a1,a2,a3,a4,a6] |
j |
177116123227679/105083430543 |
j-invariant |
L |
5.9684486810399 |
L(r)(E,1)/r! |
Ω |
0.37302805716521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28119f1 |
Quadratic twists by: -3 |