Atkin-Lehner |
2- 3+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498be |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
355202039808 = 216 · 34 · 7 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2162,-26881] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:109:1] |
Generators of the group modulo torsion |
j |
1117643600358433/355202039808 |
j-invariant |
L |
9.3128687356047 |
L(r)(E,1)/r! |
Ω |
0.71769808653964 |
Real period |
R |
0.81100159926807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494w1 |
Quadratic twists by: -3 |