Atkin-Lehner |
5- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525y |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-28477161041875 = -1 · 54 · 76 · 13 · 313 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- -1 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56063,5111092] |
[a1,a2,a3,a4,a6] |
Generators |
[133:42:1] [-208:2894:1] |
Generators of the group modulo torsion |
j |
-31179789579393025/45563457667 |
j-invariant |
L |
4.5826039044444 |
L(r)(E,1)/r! |
Ω |
0.6634730204074 |
Real period |
R |
0.12790728885407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525i1 |
Quadratic twists by: 5 |