Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640r |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
812544 |
Modular degree for the optimal curve |
Δ |
-530259343534707200 = -1 · 29 · 52 · 2310 |
Discriminant |
Eigenvalues |
2- -1 5- 0 0 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93280,-36679900] |
[a1,a2,a3,a4,a6] |
j |
-4232/25 |
j-invariant |
L |
1.9565609448584 |
L(r)(E,1)/r! |
Ω |
0.12228505569637 |
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 |
84640e1 84640l1 |
Quadratic twists by: -4 -23 |