Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280p |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
21790947780000000 = 28 · 33 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26798247,53395872614] |
[a1,a2,a3,a4,a6] |
Generators |
[2993:400:1] |
Generators of the group modulo torsion |
j |
7630566466251024/78125 |
j-invariant |
L |
6.2969038269614 |
L(r)(E,1)/r! |
Ω |
0.26723740975704 |
Real period |
R |
1.6830684191702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640h1 35280c1 35280h1 |
Quadratic twists by: -4 -3 -7 |