Atkin-Lehner |
2- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894be |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-79772463047452 = -1 · 22 · 79 · 192 · 372 |
Discriminant |
Eigenvalues |
2- -2 4 7- 4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5881,-463947] |
[a1,a2,a3,a4,a6] |
Generators |
[37600706:361140747:238328] |
Generators of the group modulo torsion |
j |
-557441767/1976836 |
j-invariant |
L |
9.2348507862835 |
L(r)(E,1)/r! |
Ω |
0.25011893674477 |
Real period |
R |
9.2304594224597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68894v1 |
Quadratic twists by: -7 |