Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31800w |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-189607500000000 = -1 · 28 · 33 · 510 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 -1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9167,572963] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:318:1] |
Generators of the group modulo torsion |
j |
34073600/75843 |
j-invariant |
L |
6.8391411278723 |
L(r)(E,1)/r! |
Ω |
0.39404573893728 |
Real period |
R |
1.4463509461104 |
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 |
63600a1 95400i1 31800l1 |
Quadratic twists by: -4 -3 5 |