Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240fw |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-426576181248000 = -1 · 214 · 36 · 53 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7061,1021965] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1323:1] |
Generators of the group modulo torsion |
j |
-2376642789376/26036143875 |
j-invariant |
L |
5.6701780905199 |
L(r)(E,1)/r! |
Ω |
0.45127246404559 |
Real period |
R |
1.2564866204272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999261306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240cv1 28560ea1 |
Quadratic twists by: -4 8 |