Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448d |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-173552999662299312 = -1 · 24 · 33 · 118 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,76553,18285148] |
[a1,a2,a3,a4,a6] |
Generators |
[31258:1958817:8] |
Generators of the group modulo torsion |
j |
1750364874752/6122883987 |
j-invariant |
L |
6.3773878041042 |
L(r)(E,1)/r! |
Ω |
0.22792398425767 |
Real period |
R |
6.9950819447447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768o1 |
Quadratic twists by: -11 |