Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650m |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-32933318990000000 = -1 · 27 · 57 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 11- 13- 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,80099,-308552] |
[a1,a2,a3,a4,a6] |
Generators |
[32:1496:1] |
Generators of the group modulo torsion |
j |
2053225511/1189760 |
j-invariant |
L |
4.8067469744086 |
L(r)(E,1)/r! |
Ω |
0.21934951266904 |
Real period |
R |
0.68480135267761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730s1 7150t1 |
Quadratic twists by: 5 -11 |