Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605r |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3814272 |
Modular degree for the optimal curve |
Δ |
-4808894579714306515 = -1 · 5 · 710 · 237 |
Discriminant |
Eigenvalues |
2 -2 5+ 7- 2 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-423376,149440085] |
[a1,a2,a3,a4,a6] |
Generators |
[147145450:4478454327:125000] |
Generators of the group modulo torsion |
j |
-200704/115 |
j-invariant |
L |
6.7987964530195 |
L(r)(E,1)/r! |
Ω |
0.22600583427453 |
Real period |
R |
15.041196830446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129605u1 5635h1 |
Quadratic twists by: -7 -23 |