Atkin-Lehner |
3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34713l |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-113535585999549 = -1 · 36 · 72 · 194 · 293 |
Discriminant |
Eigenvalues |
1 3- 3 7- 5 3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38988,-2997383] |
[a1,a2,a3,a4,a6] |
j |
-8990737580405953/155741544581 |
j-invariant |
L |
5.4304993090751 |
L(r)(E,1)/r! |
Ω |
0.16970310340849 |
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 |
3857b1 |
Quadratic twists by: -3 |