Atkin-Lehner |
2+ 3- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109224b |
Isogeny class |
Conductor |
109224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-2122364447511552 = -1 · 210 · 36 · 375 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -1 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78339,-8725682] |
[a1,a2,a3,a4,a6] |
j |
-71224645699588/2843102237 |
j-invariant |
L |
2.5623156465773 |
L(r)(E,1)/r! |
Ω |
0.14235090280021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12136b1 |
Quadratic twists by: -3 |