Atkin-Lehner |
2+ 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530o |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
2301194813153280000 = 216 · 3 · 54 · 117 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-372077,-48159459] |
[a1,a2,a3,a4,a6] |
Generators |
[922:19379:1] |
Generators of the group modulo torsion |
j |
3215643533722801/1298964480000 |
j-invariant |
L |
5.0318891053696 |
L(r)(E,1)/r! |
Ω |
0.20021499801169 |
Real period |
R |
3.1415535658062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999561151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230z1 |
Quadratic twists by: -11 |