Atkin-Lehner |
2- 5+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
114700m |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
596160 |
Modular degree for the optimal curve |
Δ |
-172229218750000 = -1 · 24 · 510 · 313 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 1 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342500,77153125] |
[a1,a2,a3,a4,a6] |
Generators |
[339:62:1] [631:10596:1] |
Generators of the group modulo torsion |
j |
-28437107097600/1102267 |
j-invariant |
L |
10.837848848533 |
L(r)(E,1)/r! |
Ω |
0.5360210510636 |
Real period |
R |
6.7396910532737 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114700s1 |
Quadratic twists by: 5 |