Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35770bd |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-294581331100 = -1 · 22 · 52 · 79 · 73 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-622,-26631] |
[a1,a2,a3,a4,a6] |
Generators |
[604923:2757799:12167] |
Generators of the group modulo torsion |
j |
-658503/7300 |
j-invariant |
L |
8.4260343939829 |
L(r)(E,1)/r! |
Ω |
0.41357840928508 |
Real period |
R |
10.186743559157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35770s1 |
Quadratic twists by: -7 |