Atkin-Lehner |
5+ 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24605a |
Isogeny class |
Conductor |
24605 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
-109744112316125 = -1 · 53 · 7 · 195 · 373 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- -2 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104006,-12963456] |
[a1,a2,a3,a4,a6] |
Generators |
[918:25352:1] |
Generators of the group modulo torsion |
j |
-124422566434322633569/109744112316125 |
j-invariant |
L |
2.3087410956209 |
L(r)(E,1)/r! |
Ω |
0.13291743995727 |
Real period |
R |
3.4739475818421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123025f1 |
Quadratic twists by: 5 |