Atkin-Lehner |
5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35525t |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-731409126875 = -1 · 54 · 79 · 29 |
Discriminant |
Eigenvalues |
-1 -3 5- 7- 6 -2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1455,46722] |
[a1,a2,a3,a4,a6] |
Generators |
[30:156:1] |
Generators of the group modulo torsion |
j |
-4629825/9947 |
j-invariant |
L |
1.900196135167 |
L(r)(E,1)/r! |
Ω |
0.80082755087169 |
Real period |
R |
0.59319766568305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35525f1 5075i1 |
Quadratic twists by: 5 -7 |