Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700be |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-202884500000000 = -1 · 28 · 59 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 2 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14292,197588] |
[a1,a2,a3,a4,a6] |
Generators |
[2383:116500:1] |
Generators of the group modulo torsion |
j |
268912/169 |
j-invariant |
L |
7.5394472860439 |
L(r)(E,1)/r! |
Ω |
0.34994038603685 |
Real period |
R |
5.3862369041435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700bg1 63700br1 |
Quadratic twists by: 5 -7 |