Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282s |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
535392 |
Modular degree for the optimal curve |
Δ |
-81221857339014 = -1 · 2 · 313 · 74 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 5 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1838824,-960516817] |
[a1,a2,a3,a4,a6] |
Generators |
[19625253149910125162490214728749056088882400642:-813092219703227252126308589008662680460086676649:7711527724016975558115744677326670447169624] |
Generators of the group modulo torsion |
j |
-286386180379410828577/33828345414 |
j-invariant |
L |
9.2862731131423 |
L(r)(E,1)/r! |
Ω |
0.064823804159311 |
Real period |
R |
71.627029866377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846bb1 30282bt1 |
Quadratic twists by: -3 -7 |