Atkin-Lehner |
3+ 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98049k |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-475360930502409 = -1 · 3 · 710 · 23 · 293 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- -5 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20924,1558934] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:1274:1] [62:-742:1] |
Generators of the group modulo torsion |
j |
-8611343303473/4040501241 |
j-invariant |
L |
7.5186501459456 |
L(r)(E,1)/r! |
Ω |
0.4905906435029 |
Real period |
R |
1.2771425364225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14007k1 |
Quadratic twists by: -7 |