Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446ch |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-2618919070758144 = -1 · 28 · 33 · 73 · 115 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-191171,32186657] |
[a1,a2,a3,a4,a6] |
Generators |
[713:-16450:1] |
Generators of the group modulo torsion |
j |
-2252660634800034103/7635332567808 |
j-invariant |
L |
8.254459681879 |
L(r)(E,1)/r! |
Ω |
0.45767302713608 |
Real period |
R |
0.075148807051682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446dc1 |
Quadratic twists by: -7 |