Atkin-Lehner |
2- 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115258p |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2306304 |
Modular degree for the optimal curve |
Δ |
-569680232163328 = -1 · 211 · 11 · 138 · 31 |
Discriminant |
Eigenvalues |
2- 0 0 -3 11- 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9047785,-10472918231] |
[a1,a2,a3,a4,a6] |
Generators |
[43303:8967004:1] |
Generators of the group modulo torsion |
j |
-16970333195884811625/118024192 |
j-invariant |
L |
8.4501816167084 |
L(r)(E,1)/r! |
Ω |
0.043524520428657 |
Real period |
R |
8.8248913799777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999980404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866b1 |
Quadratic twists by: 13 |