Atkin-Lehner |
2+ 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550t |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-5415305120000 = -1 · 28 · 54 · 173 · 832 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 -4 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4225,38725] |
[a1,a2,a3,a4,a6] |
Generators |
[59:676:1] [110:1305:1] |
Generators of the group modulo torsion |
j |
13340226790775/8664488192 |
j-invariant |
L |
5.6333343903477 |
L(r)(E,1)/r! |
Ω |
0.47663090522245 |
Real period |
R |
0.32830752082534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550v1 |
Quadratic twists by: 5 |