Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114996c |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
267840 |
Modular degree for the optimal curve |
Δ |
-40822735009392 = -1 · 24 · 34 · 75 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -3 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7758,156573] |
[a1,a2,a3,a4,a6] |
j |
1721829632/1361367 |
j-invariant |
L |
0.82947313181028 |
L(r)(E,1)/r! |
Ω |
0.4147367647168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114996d1 |
Quadratic twists by: 37 |