Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240d |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-2274125414400 = -1 · 220 · 36 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5601,178785] |
[a1,a2,a3,a4,a6] |
Generators |
[41:128:1] |
Generators of the group modulo torsion |
j |
-74140932601/8675100 |
j-invariant |
L |
4.9503219738229 |
L(r)(E,1)/r! |
Ω |
0.79704909962904 |
Real period |
R |
1.5527029483015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240iy1 3570l1 |
Quadratic twists by: -4 8 |