Atkin-Lehner |
2- 3- 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434bd |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-169817514467328 = -1 · 213 · 36 · 7 · 133 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 1 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3551,-631353] |
[a1,a2,a3,a4,a6] |
Generators |
[435:8726:1] |
Generators of the group modulo torsion |
j |
-6790996982953/232945836032 |
j-invariant |
L |
9.2734975850599 |
L(r)(E,1)/r! |
Ω |
0.24945631025519 |
Real period |
R |
0.47660046986497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826c1 |
Quadratic twists by: -3 |