Atkin-Lehner |
2+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894h |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
3.647276573065E+19 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- 5 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-200471619,1092498381608] |
[a1,a2,a3,a4,a6] |
Generators |
[523604:-194753:64] |
Generators of the group modulo torsion |
j |
7573456968156842560985881/310013393489534 |
j-invariant |
L |
3.4267470086905 |
L(r)(E,1)/r! |
Ω |
0.152739190493 |
Real period |
R |
2.2435283296393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842a1 |
Quadratic twists by: -7 |