Atkin-Lehner |
2+ 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282g |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1907712 |
Modular degree for the optimal curve |
Δ |
-965702843183651328 = -1 · 29 · 33 · 714 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 1 2 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8052097,8791282165] |
[a1,a2,a3,a4,a6] |
j |
-490752533497730377609/8208338729472 |
j-invariant |
L |
0.51083206212249 |
L(r)(E,1)/r! |
Ω |
0.25541603105867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846di1 4326b1 |
Quadratic twists by: -3 -7 |