Atkin-Lehner |
3- 5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67425l |
Isogeny class |
Conductor |
67425 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
31360 |
Modular degree for the optimal curve |
Δ |
-7618687875 = -1 · 37 · 53 · 29 · 312 |
Discriminant |
Eigenvalues |
0 3- 5- 0 -3 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,457,-1726] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-140:1] [74:461:8] |
Generators of the group modulo torsion |
j |
84258095104/60949503 |
j-invariant |
L |
10.011371971163 |
L(r)(E,1)/r! |
Ω |
0.74096040430386 |
Real period |
R |
0.4825480510088 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67425e1 |
Quadratic twists by: 5 |