Atkin-Lehner |
2- 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cc |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
9225216 |
Modular degree for the optimal curve |
Δ |
2502546703545000000 = 26 · 3 · 57 · 72 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59399305,-176230516873] |
[a1,a2,a3,a4,a6] |
j |
156567200830221067489/16905000000 |
j-invariant |
L |
2.2840392676937 |
L(r)(E,1)/r! |
Ω |
0.054381879918036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830u1 |
Quadratic twists by: -23 |