Atkin-Lehner |
2- 3- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230be |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1222152703663200 = 25 · 3 · 52 · 178 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-936140,-348699600] |
[a1,a2,a3,a4,a6] |
Generators |
[-558:336:1] |
Generators of the group modulo torsion |
j |
90729005078782009287361/1222152703663200 |
j-invariant |
L |
11.434426226517 |
L(r)(E,1)/r! |
Ω |
0.15348456322464 |
Real period |
R |
3.7249434035202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111690h4 |
Quadratic twists by: -3 |