Atkin-Lehner |
2+ 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360c |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9354240 |
Modular degree for the optimal curve |
Δ |
-6.7231415752677E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 5 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-360105416,-2659523180820] |
[a1,a2,a3,a4,a6] |
j |
-2521637885151884700928772498/32827839722986926234375 |
j-invariant |
L |
0.86575634001044 |
L(r)(E,1)/r! |
Ω |
0.017315126800216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60720q1 91080cb1 |
Quadratic twists by: -4 -3 |