Atkin-Lehner |
3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925u |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-238487390859375 = -1 · 33 · 57 · 76 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9213,-821094] |
[a1,a2,a3,a4,a6] |
j |
-47045881/129735 |
j-invariant |
L |
0.90412760470016 |
L(r)(E,1)/r! |
Ω |
0.22603167669784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785m1 2325i1 |
Quadratic twists by: 5 -7 |