Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bv |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
11296427329152000 = 210 · 37 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-377643,-89177942] |
[a1,a2,a3,a4,a6] |
Generators |
[1101:28804:1] |
Generators of the group modulo torsion |
j |
197723452/375 |
j-invariant |
L |
4.8102444434916 |
L(r)(E,1)/r! |
Ω |
0.19260993072233 |
Real period |
R |
6.2435052354931 |
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 |
17640x1 11760bj1 35280cu1 |
Quadratic twists by: -4 -3 -7 |