Atkin-Lehner |
7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12103b |
Isogeny class |
Conductor |
12103 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-73432858681 = -1 · 77 · 13 · 193 |
Discriminant |
Eigenvalues |
1 0 -3 7- 3 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3341,76306] |
[a1,a2,a3,a4,a6] |
Generators |
[30:34:1] |
Generators of the group modulo torsion |
j |
-35062107417/624169 |
j-invariant |
L |
3.9021180243365 |
L(r)(E,1)/r! |
Ω |
1.0931314430924 |
Real period |
R |
0.89241738699271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108927x1 1729a1 |
Quadratic twists by: -3 -7 |