Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450dg |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-969151790250 = -1 · 2 · 33 · 53 · 7 · 295 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3903,-105453] |
[a1,a2,a3,a4,a6] |
Generators |
[3366:66567:8] |
Generators of the group modulo torsion |
j |
-52603701832709/7753214322 |
j-invariant |
L |
10.740028988549 |
L(r)(E,1)/r! |
Ω |
0.29956693063982 |
Real period |
R |
5.9753085148675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350cx1 30450p1 |
Quadratic twists by: -3 5 |