Atkin-Lehner |
2- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49490m |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-6368303604687500 = -1 · 22 · 58 · 79 · 101 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 6 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-84036,10097233] |
[a1,a2,a3,a4,a6] |
j |
-557868593162161/54129687500 |
j-invariant |
L |
3.3051533186306 |
L(r)(E,1)/r! |
Ω |
0.41314416487629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070h1 |
Quadratic twists by: -7 |