Atkin-Lehner |
2+ 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192i |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.9055292580848E+18 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-683472,-156337740] |
[a1,a2,a3,a4,a6] |
Generators |
[1327788:16603530:1331] |
Generators of the group modulo torsion |
j |
17240766793979723426/4836684208049217 |
j-invariant |
L |
7.1584081542054 |
L(r)(E,1)/r! |
Ω |
0.16956854390826 |
Real period |
R |
10.553856259564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15096f3 120768ct4 90576d4 |
Quadratic twists by: -4 8 -3 |