Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35378f |
Isogeny class |
Conductor |
35378 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-44850908376064 = -1 · 210 · 72 · 197 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- -5 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4580,-342448] |
[a1,a2,a3,a4,a6] |
Generators |
[328:5612:1] |
Generators of the group modulo torsion |
j |
-4609521/19456 |
j-invariant |
L |
2.6545162031885 |
L(r)(E,1)/r! |
Ω |
0.26411410245343 |
Real period |
R |
1.2563302084823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35378a1 1862e1 |
Quadratic twists by: -7 -19 |