Atkin-Lehner |
2- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894bd |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
348311040 |
Modular degree for the optimal curve |
Δ |
-5.0426878367314E+31 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 4 -6 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15811798927,-838083345574791] |
[a1,a2,a3,a4,a6] |
Generators |
[4815430:10560971517:1] |
Generators of the group modulo torsion |
j |
-10833909434762332987038018439/1249625055012166628113408 |
j-invariant |
L |
4.0146892289329 |
L(r)(E,1)/r! |
Ω |
0.0066883155273292 |
Real period |
R |
0.90947600229328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68894u1 |
Quadratic twists by: -7 |