Atkin-Lehner |
3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70395i |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
68635125 = 32 · 53 · 132 · 192 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 -1 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-785,8723] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:97:1] [-1:97:1] |
Generators of the group modulo torsion |
j |
148381106176/190125 |
j-invariant |
L |
8.1125105979266 |
L(r)(E,1)/r! |
Ω |
1.947432862403 |
Real period |
R |
0.34714549747915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70395p1 |
Quadratic twists by: -19 |