Atkin-Lehner |
5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
121835f |
Isogeny class |
Conductor |
121835 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3340800 |
Modular degree for the optimal curve |
Δ |
-3211915822594521875 = -1 · 55 · 7 · 598 |
Discriminant |
Eigenvalues |
0 -3 5- 7+ 5 -3 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,27848,86207835] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:8702:1] |
Generators of the group modulo torsion |
j |
56623104/76146875 |
j-invariant |
L |
2.3641144228798 |
L(r)(E,1)/r! |
Ω |
0.19720684798415 |
Real period |
R |
1.1987993125328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000359451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2065a1 |
Quadratic twists by: -59 |