Atkin-Lehner |
2+ 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050s |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-608212800000000 = -1 · 212 · 34 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 1 13- -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15050,956500] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:626:1] |
Generators of the group modulo torsion |
j |
965001720695/1557024768 |
j-invariant |
L |
4.2043261182572 |
L(r)(E,1)/r! |
Ω |
0.35118493585899 |
Real period |
R |
1.4964786672774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150fg1 37050bz1 |
Quadratic twists by: -3 5 |