Atkin-Lehner |
3+ 5- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
122475n |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1062720 |
Modular degree for the optimal curve |
Δ |
-12317048576953125 = -1 · 3 · 58 · 236 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 6 0 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-279200,-57150375] |
[a1,a2,a3,a4,a6] |
j |
-6161867420562985/31531644357 |
j-invariant |
L |
1.8686589550572 |
L(r)(E,1)/r! |
Ω |
0.10381439800691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122475s1 |
Quadratic twists by: 5 |