Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200dv |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-3744674611200000000 = -1 · 235 · 32 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,371792,32597588] |
[a1,a2,a3,a4,a6] |
Generators |
[23858:3686400:1] |
Generators of the group modulo torsion |
j |
3552243132335/2340421632 |
j-invariant |
L |
7.5750176339656 |
L(r)(E,1)/r! |
Ω |
0.15585497024369 |
Real period |
R |
2.0251246030525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4650be1 111600gk1 37200bw1 |
Quadratic twists by: -4 -3 5 |