Atkin-Lehner |
2+ 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25232c |
Isogeny class |
Conductor |
25232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
302720 |
Modular degree for the optimal curve |
Δ |
-1456121520253952 = -1 · 210 · 192 · 835 |
Discriminant |
Eigenvalues |
2+ -3 4 3 3 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26357,811210] |
[a1,a2,a3,a4,a6] |
j |
1977478112299644/1421993672123 |
j-invariant |
L |
2.4330163769761 |
L(r)(E,1)/r! |
Ω |
0.30412704712202 |
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 |
12616c1 100928ba1 |
Quadratic twists by: -4 8 |