Atkin-Lehner |
2- 3- 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674bh |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
4651587087630336 = 226 · 36 · 7 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42404,737223] |
[a1,a2,a3,a4,a6] |
Generators |
[261:2589:1] |
Generators of the group modulo torsion |
j |
11566635758883577/6380777897984 |
j-invariant |
L |
11.834939853215 |
L(r)(E,1)/r! |
Ω |
0.37726068110482 |
Real period |
R |
1.2065662195494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11186b1 |
Quadratic twists by: -3 |