Atkin-Lehner |
2- 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954bz |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
-1.2030786072004E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,357748,521404589] |
[a1,a2,a3,a4,a6] |
Generators |
[399:-27179:1] |
Generators of the group modulo torsion |
j |
43039482388764623/1022599943221248 |
j-invariant |
L |
10.053376058344 |
L(r)(E,1)/r! |
Ω |
0.13967790361465 |
Real period |
R |
1.4994879558038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018465 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16422v1 |
Quadratic twists by: -7 |