Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14800bd |
Isogeny class |
Conductor |
14800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
77594624000000000 = 230 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 2 0 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342875,76106250] |
[a1,a2,a3,a4,a6] |
Generators |
[320175:2332250:729] |
Generators of the group modulo torsion |
j |
557238592989/9699328 |
j-invariant |
L |
4.9363984070253 |
L(r)(E,1)/r! |
Ω |
0.34405969024576 |
Real period |
R |
7.1737529082517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1850o1 59200dt1 14800bh1 |
Quadratic twists by: -4 8 5 |