Atkin-Lehner |
3+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25641b |
Isogeny class |
Conductor |
25641 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-40230049077603 = -1 · 39 · 73 · 115 · 37 |
Discriminant |
Eigenvalues |
2 3+ 0 7- 11+ 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13095,652529] |
[a1,a2,a3,a4,a6] |
j |
-12616791552000/2043898241 |
j-invariant |
L |
3.7332435305693 |
L(r)(E,1)/r! |
Ω |
0.62220725509489 |
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 |
25641d1 |
Quadratic twists by: -3 |