Atkin-Lehner |
2- 3- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110bg |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-908625600000 = -1 · 29 · 36 · 55 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 -3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1577,52201] |
[a1,a2,a3,a4,a6] |
Generators |
[1:224:1] [-41:236:1] |
Generators of the group modulo torsion |
j |
-594611161929/1246400000 |
j-invariant |
L |
14.638563542043 |
L(r)(E,1)/r! |
Ω |
0.78707700678403 |
Real period |
R |
0.10332578935788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7790b1 |
Quadratic twists by: -3 |