Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530bv |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
624 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-1070055588116275200 = -1 · 213 · 32 · 52 · 117 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- -2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70606,50261003] |
[a1,a2,a3,a4,a6] |
Generators |
[479:11013:1] [-319:6519:1] |
Generators of the group modulo torsion |
j |
-21973174804729/604018483200 |
j-invariant |
L |
12.962282198496 |
L(r)(E,1)/r! |
Ω |
0.23098273203376 |
Real period |
R |
0.089932645401125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230e1 |
Quadratic twists by: -11 |