Atkin-Lehner |
2+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25970m |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1228920 |
Modular degree for the optimal curve |
Δ |
-48885512480000000 = -1 · 211 · 57 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 3 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3235969,-2239766467] |
[a1,a2,a3,a4,a6] |
j |
-650058625147745961/8480000000 |
j-invariant |
L |
3.5457545930143 |
L(r)(E,1)/r! |
Ω |
0.056281818936741 |
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 |
129850bt1 25970f1 |
Quadratic twists by: 5 -7 |