Atkin-Lehner |
5- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78155i |
Isogeny class |
Conductor |
78155 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-1503053625690330175 = -1 · 52 · 79 · 116 · 292 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-621697,197836496] |
[a1,a2,a3,a4,a6] |
Generators |
[416:-3536:1] |
Generators of the group modulo torsion |
j |
-225876542934987729/12775745018575 |
j-invariant |
L |
3.7466859048743 |
L(r)(E,1)/r! |
Ω |
0.26488042199477 |
Real period |
R |
1.7681025069746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11165a1 |
Quadratic twists by: -7 |