Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23826b |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
136800 |
Modular degree for the optimal curve |
Δ |
-766705969922904 = -1 · 23 · 33 · 11 · 199 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 11+ -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-218773,39317221] |
[a1,a2,a3,a4,a6] |
Generators |
[478:40915:8] |
Generators of the group modulo torsion |
j |
-3588604291/2376 |
j-invariant |
L |
2.788080663266 |
L(r)(E,1)/r! |
Ω |
0.49987132864486 |
Real period |
R |
2.7887983401893 |
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 |
71478ci1 23826bd1 |
Quadratic twists by: -3 -19 |