Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300cb |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-771828750000 = -1 · 24 · 36 · 57 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1800,-30375] |
[a1,a2,a3,a4,a6] |
Generators |
[30:225:1] |
Generators of the group modulo torsion |
j |
3538944/4235 |
j-invariant |
L |
6.2790423115592 |
L(r)(E,1)/r! |
Ω |
0.48173416832776 |
Real period |
R |
0.54309363995473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7700g1 13860k1 |
Quadratic twists by: -3 5 |