Atkin-Lehner |
3+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339f |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
123264 |
Modular degree for the optimal curve |
Δ |
-10725561 = -1 · 33 · 72 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42676,-3411155] |
[a1,a2,a3,a4,a6] |
Generators |
[1937805268:50015202901:2571353] |
Generators of the group modulo torsion |
j |
-175426279266791833/218889 |
j-invariant |
L |
5.1197383088048 |
L(r)(E,1)/r! |
Ω |
0.16608190103937 |
Real period |
R |
15.413293906285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108339j1 |
Quadratic twists by: -7 |