Atkin-Lehner |
2+ 3- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130r |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2243207678031000 = 23 · 316 · 53 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-170938,-27120844] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:308:1] [580:8012:1] |
Generators of the group modulo torsion |
j |
552377417091099615001/2243207678031000 |
j-invariant |
L |
7.3876883721381 |
L(r)(E,1)/r! |
Ω |
0.23485310039176 |
Real period |
R |
1.3106931453136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390bc2 |
Quadratic twists by: -3 |