Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fi |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-210691031040 = -1 · 217 · 38 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5187,145474] |
[a1,a2,a3,a4,a6] |
Generators |
[65:288:1] |
Generators of the group modulo torsion |
j |
-105484561/1440 |
j-invariant |
L |
5.514972088192 |
L(r)(E,1)/r! |
Ω |
1.0030237019614 |
Real period |
R |
0.68729334080137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4410p1 11760cf1 35280dr1 |
Quadratic twists by: -4 -3 -7 |