Atkin-Lehner |
2- 3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154by |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
230 |
Product of Tamagawa factors cp |
deg |
9273600 |
Modular degree for the optimal curve |
Δ |
8.7727960730421E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 -4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20805698,-33628026815] |
[a1,a2,a3,a4,a6] |
Generators |
[-2623:55103:1] |
Generators of the group modulo torsion |
j |
1366290457558475872454361/120340138176160989184 |
j-invariant |
L |
8.2463615565556 |
L(r)(E,1)/r! |
Ω |
0.071086801438657 |
Real period |
R |
0.50436572070144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906d1 |
Quadratic twists by: -3 |