Atkin-Lehner |
2+ 3+ 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954d |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
293280 |
Modular degree for the optimal curve |
Δ |
606421083856896 = 213 · 315 · 7 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-167181,26214237] |
[a1,a2,a3,a4,a6] |
Generators |
[-3746:13475:8] |
Generators of the group modulo torsion |
j |
516759568669885035097/606421083856896 |
j-invariant |
L |
4.0766785149444 |
L(r)(E,1)/r! |
Ω |
0.51313716721983 |
Real period |
R |
7.9446174928856 |
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 |
92862bn1 |
Quadratic twists by: -3 |