Atkin-Lehner |
2+ 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786r |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-62142525570048 = -1 · 210 · 3 · 78 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40156,3103696] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-227:1] |
Generators of the group modulo torsion |
j |
-60870056845753/528202752 |
j-invariant |
L |
3.5537042489593 |
L(r)(E,1)/r! |
Ω |
0.62560288748597 |
Real period |
R |
1.4201118314415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398l1 |
Quadratic twists by: -7 |