Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302cj |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-68196188736 = -1 · 26 · 38 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -2 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1021,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[1:30:1] [63:526:1] |
Generators of the group modulo torsion |
j |
956280767/553536 |
j-invariant |
L |
12.318405779043 |
L(r)(E,1)/r! |
Ω |
0.65727440223601 |
Real period |
R |
0.78090201855393 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31434k1 94302q1 |
Quadratic twists by: -3 13 |