Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112700h |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-223661778593750000 = -1 · 24 · 510 · 76 · 233 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56758,-23360387] |
[a1,a2,a3,a4,a6] |
Generators |
[137877801:420962675:389017] |
Generators of the group modulo torsion |
j |
-687518464/7604375 |
j-invariant |
L |
6.0799039709559 |
L(r)(E,1)/r! |
Ω |
0.13381355128203 |
Real period |
R |
11.358909328131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540r1 2300a1 |
Quadratic twists by: 5 -7 |