Atkin-Lehner |
2+ 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14098c |
Isogeny class |
Conductor |
14098 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-43236791512936 = -1 · 23 · 710 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- -3 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-174734,28042556] |
[a1,a2,a3,a4,a6] |
Generators |
[187:1303:1] |
Generators of the group modulo torsion |
j |
-590010651768774863593/43236791512936 |
j-invariant |
L |
4.2668896876949 |
L(r)(E,1)/r! |
Ω |
0.61056878157919 |
Real period |
R |
0.34941924779211 |
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 |
112784k1 126882bu1 98686d1 |
Quadratic twists by: -4 -3 -7 |