Atkin-Lehner |
7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
93499l |
Isogeny class |
Conductor |
93499 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-6021878931010411 = -1 · 7 · 198 · 373 |
Discriminant |
Eigenvalues |
-2 -2 -3 7- -5 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,35258,-2717050] |
[a1,a2,a3,a4,a6] |
Generators |
[329:6678:1] [196:-3430:1] |
Generators of the group modulo torsion |
j |
103029788672/128000131 |
j-invariant |
L |
2.7189434714676 |
L(r)(E,1)/r! |
Ω |
0.22770419276256 |
Real period |
R |
0.99505687572604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4921d1 |
Quadratic twists by: -19 |