Atkin-Lehner |
2- 3- 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770ba |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
70564162867200 = 212 · 33 · 52 · 193 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97756,11749136] |
[a1,a2,a3,a4,a6] |
Generators |
[-304:3812:1] |
Generators of the group modulo torsion |
j |
103312829950753733569/70564162867200 |
j-invariant |
L |
7.7801917991145 |
L(r)(E,1)/r! |
Ω |
0.61006342232507 |
Real period |
R |
1.0627572361605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
104310bh1 |
Quadratic twists by: -3 |