Atkin-Lehner |
2- 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680cw |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
14241744000000000 = 213 · 37 · 59 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ -1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-199680,33794100] |
[a1,a2,a3,a4,a6] |
Generators |
[-510:1800:1] [-60:-6750:1] |
Generators of the group modulo torsion |
j |
214965934543825921/3476988281250 |
j-invariant |
L |
13.032586252379 |
L(r)(E,1)/r! |
Ω |
0.39649682217741 |
Real period |
R |
0.13043386282295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210v1 |
Quadratic twists by: -4 |