Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400dj |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
788480 |
Modular degree for the optimal curve |
Δ |
-73693152000000000 = -1 · 214 · 311 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-611333,184236963] |
[a1,a2,a3,a4,a6] |
Generators |
[358:3375:1] |
Generators of the group modulo torsion |
j |
-789601498112/2302911 |
j-invariant |
L |
7.6192844283017 |
L(r)(E,1)/r! |
Ω |
0.34633125254667 |
Real period |
R |
0.9999995895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400fl1 7800s1 62400br1 |
Quadratic twists by: -4 8 5 |