Atkin-Lehner |
2+ 3+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
6954f |
Isogeny class |
Conductor |
6954 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-14721095657355264 = -1 · 211 · 35 · 194 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 -2 0 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,49114,4085652] |
[a1,a2,a3,a4,a6] |
Generators |
[163:3975:1] |
Generators of the group modulo torsion |
j |
13101644563047753623/14721095657355264 |
j-invariant |
L |
2.9575407698201 |
L(r)(E,1)/r! |
Ω |
0.2625986448405 |
Real period |
R |
0.93854913443307 |
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 |
55632y1 20862bb1 |
Quadratic twists by: -4 -3 |