Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402z |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
4185729769284 = 22 · 37 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-185074,-30660736] |
[a1,a2,a3,a4,a6] |
j |
5958978974685073/35578116 |
j-invariant |
L |
3.2224885346738 |
L(r)(E,1)/r! |
Ω |
0.2301777524767 |
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 |
73206t1 3486h1 |
Quadratic twists by: -3 -7 |