Atkin-Lehner |
2- 3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494cg |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-5238317722241480184 = -1 · 23 · 311 · 74 · 117 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ -7 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31909,-110103037] |
[a1,a2,a3,a4,a6] |
Generators |
[3717:224752:1] |
Generators of the group modulo torsion |
j |
4928883185518487/7185621018163896 |
j-invariant |
L |
14.254284289963 |
L(r)(E,1)/r! |
Ω |
0.11251167433361 |
Real period |
R |
5.2788167558276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498bb1 |
Quadratic twists by: -3 |