Atkin-Lehner |
3+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98049j |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5091840 |
Modular degree for the optimal curve |
Δ |
842277639428074269 = 32 · 72 · 238 · 293 |
Discriminant |
Eigenvalues |
2 3+ -3 7- -2 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7881932,-8514464533] |
[a1,a2,a3,a4,a6] |
Generators |
[38026:1982159:8] |
Generators of the group modulo torsion |
j |
1105161477715159807086592/17189339580164781 |
j-invariant |
L |
7.0550334078622 |
L(r)(E,1)/r! |
Ω |
0.090103525583415 |
Real period |
R |
4.8936996184052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98049n1 |
Quadratic twists by: -7 |