Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112m |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8680448 |
Modular degree for the optimal curve |
Δ |
-7.8435227744499E+19 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 11- 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102816308,401274318396] |
[a1,a2,a3,a4,a6] |
Generators |
[153396215:2727565841:29791] |
Generators of the group modulo torsion |
j |
-11635562981321229312/7592570557 |
j-invariant |
L |
6.5758129429037 |
L(r)(E,1)/r! |
Ω |
0.15959448231673 |
Real period |
R |
10.300815014929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999755346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56056b1 112112r1 |
Quadratic twists by: -4 -7 |