Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930ct |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
10901948914483200 = 214 · 35 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-103195,-11772055] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:1078:1] |
Generators of the group modulo torsion |
j |
1033027067767969/92665036800 |
j-invariant |
L |
7.5936256810357 |
L(r)(E,1)/r! |
Ω |
0.26789687588145 |
Real period |
R |
1.0123332580402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790bl1 3990w1 |
Quadratic twists by: -3 -7 |