Atkin-Lehner |
5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79135j |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
639360 |
Modular degree for the optimal curve |
Δ |
1133352752594125 = 53 · 72 · 175 · 194 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-147506,21794331] |
[a1,a2,a3,a4,a6] |
Generators |
[1882:1915:8] |
Generators of the group modulo torsion |
j |
7243686311015182336/23129648012125 |
j-invariant |
L |
7.7878295732031 |
L(r)(E,1)/r! |
Ω |
0.49064181044429 |
Real period |
R |
3.9681848382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79135q1 |
Quadratic twists by: -7 |