Atkin-Lehner |
2- 3- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670u |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-9.1343408961946E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64803061,-201320923615] |
[a1,a2,a3,a4,a6] |
j |
-30096103647001622212284923089/91343408961945600000000 |
j-invariant |
L |
2.9792693349007 |
L(r)(E,1)/r! |
Ω |
0.026600619061613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010z1 88350j1 |
Quadratic twists by: -3 5 |