Atkin-Lehner |
2+ 5- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
107440j |
Isogeny class |
Conductor |
107440 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
9015552 |
Modular degree for the optimal curve |
Δ |
-7.66550825E+19 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 -6 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,951173,-223501046] |
[a1,a2,a3,a4,a6] |
Generators |
[265:6868:1] [14103:1678750:1] |
Generators of the group modulo torsion |
j |
46469960307627194718/37429239501953125 |
j-invariant |
L |
5.5155089753089 |
L(r)(E,1)/r! |
Ω |
0.10733341123191 |
Real period |
R |
0.16470093684263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53720j1 |
Quadratic twists by: -4 |