Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350cr |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-17375662080000 = -1 · 215 · 33 · 54 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-963,200481] |
[a1,a2,a3,a4,a6] |
Generators |
[51:510:1] |
Generators of the group modulo torsion |
j |
-158034076225/27801059328 |
j-invariant |
L |
8.7870904150128 |
L(r)(E,1)/r! |
Ω |
0.56563556841969 |
Real period |
R |
0.51782990705518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350t1 |
Quadratic twists by: 5 |