Atkin-Lehner |
3+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115851f |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11267619495186123 = 33 · 238 · 732 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 -4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57672,-1552242] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:1626:1] [2118:9741:8] |
Generators of the group modulo torsion |
j |
143301984337/76114107 |
j-invariant |
L |
7.1539982825877 |
L(r)(E,1)/r! |
Ω |
0.32722635276851 |
Real period |
R |
10.931268558591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037d2 |
Quadratic twists by: -23 |