Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31958k |
Isogeny class |
Conductor |
31958 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-398541142243136 = -1 · 26 · 192 · 297 |
Discriminant |
Eigenvalues |
2- 1 -3 -4 5 -7 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24827,1783889] |
[a1,a2,a3,a4,a6] |
Generators |
[128:777:1] |
Generators of the group modulo torsion |
j |
-2845178713/670016 |
j-invariant |
L |
6.2315284792683 |
L(r)(E,1)/r! |
Ω |
0.50863219799976 |
Real period |
R |
0.25524044780354 |
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 |
1102a1 |
Quadratic twists by: 29 |