Atkin-Lehner |
2+ 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818f |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
12753408 = 29 · 3 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 0 6 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3313,-74795] |
[a1,a2,a3,a4,a6] |
j |
11145142527409/35328 |
j-invariant |
L |
2.5170231061355 |
L(r)(E,1)/r! |
Ω |
0.62925577633288 |
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 |
49818bd1 |
Quadratic twists by: -19 |