Atkin-Lehner |
2+ 5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050l |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
-5.6723968E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1528375,811903125] |
[a1,a2,a3,a4,a6] |
Generators |
[60106076340:862335490155:92345408] |
Generators of the group modulo torsion |
j |
-25269340398258806641/3630333952000000 |
j-invariant |
L |
6.6950880751753 |
L(r)(E,1)/r! |
Ω |
0.19180582056309 |
Real period |
R |
17.452776082395 |
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 |
22610x1 |
Quadratic twists by: 5 |