Atkin-Lehner |
2+ 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
78694m |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
70509824 = 28 · 73 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 11- 0 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-215,-1158] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] [-9:12:1] |
Generators of the group modulo torsion |
j |
3183010111/205568 |
j-invariant |
L |
4.86279359068 |
L(r)(E,1)/r! |
Ω |
1.2525308350931 |
Real period |
R |
0.97059358830595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78694k1 |
Quadratic twists by: -7 |