Atkin-Lehner |
2+ 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
108336i |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
191232 |
Modular degree for the optimal curve |
Δ |
-1158019971072 = -1 · 211 · 3 · 373 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-736,-52588] |
[a1,a2,a3,a4,a6] |
j |
-21558430658/565439439 |
j-invariant |
L |
4.5140302564464 |
L(r)(E,1)/r! |
Ω |
0.37616922944682 |
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 |
54168h1 |
Quadratic twists by: -4 |