Atkin-Lehner |
2+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113498g |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7201920 |
Modular degree for the optimal curve |
Δ |
-1.0872551617005E+21 |
Discriminant |
Eigenvalues |
2+ 0 3 7- 11- -1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9942653,-12168413383] |
[a1,a2,a3,a4,a6] |
Generators |
[3682:31773:1] |
Generators of the group modulo torsion |
j |
-507094737590755017/5072125571044 |
j-invariant |
L |
5.7816794243532 |
L(r)(E,1)/r! |
Ω |
0.042484937504007 |
Real period |
R |
3.4021937019515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999173178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113498m1 |
Quadratic twists by: -11 |