Atkin-Lehner |
2+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
72512h |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
992000 |
Modular degree for the optimal curve |
Δ |
-109349763776 = -1 · 26 · 115 · 1032 |
Discriminant |
Eigenvalues |
2+ -3 -3 0 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299994,570505894] |
[a1,a2,a3,a4,a6] |
Generators |
[-1275:12463:1] [661:121:1] |
Generators of the group modulo torsion |
j |
-3796363434482610826752/1708590059 |
j-invariant |
L |
4.9804637060086 |
L(r)(E,1)/r! |
Ω |
0.63973776065393 |
Real period |
R |
0.77851645038298 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72512d1 36256k1 |
Quadratic twists by: -4 8 |