Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52514l |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
-2.5325583237637E+22 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,33030,7656635820] |
[a1,a2,a3,a4,a6] |
Generators |
[912:91443:1] |
Generators of the group modulo torsion |
j |
2249635843727/14295631501053056 |
j-invariant |
L |
3.177201557426 |
L(r)(E,1)/r! |
Ω |
0.094668905693318 |
Real period |
R |
3.3561194504147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774g1 |
Quadratic twists by: -11 |