Atkin-Lehner |
5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114155a |
Isogeny class |
Conductor |
114155 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-46842211216315 = -1 · 5 · 179 · 79 |
Discriminant |
Eigenvalues |
0 2 5+ 4 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12711761,-17440189763] |
[a1,a2,a3,a4,a6] |
Generators |
[1963054817019174973144959512418314019134277251190198389236400610:425841752502280342066050134852672057540360001002292857557072467293:41471408711011456066502175881882368188461306383633669181928] |
Generators of the group modulo torsion |
j |
-9411251398946062336/1940635 |
j-invariant |
L |
7.8321110598848 |
L(r)(E,1)/r! |
Ω |
0.039977729622336 |
Real period |
R |
97.955926135297 |
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 |
6715e2 |
Quadratic twists by: 17 |