Atkin-Lehner |
2+ 3- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29526i |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
-1860138 = -1 · 2 · 33 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22,74] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:11:1] |
Generators of the group modulo torsion |
j |
-1102302937/1860138 |
j-invariant |
L |
4.0943831585062 |
L(r)(E,1)/r! |
Ω |
2.3607074621482 |
Real period |
R |
0.28906469947081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88578bb1 |
Quadratic twists by: -3 |