Atkin-Lehner |
2- 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192r |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1419840 |
Modular degree for the optimal curve |
Δ |
-1.0281804295637E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 1 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12003701,16085574717] |
[a1,a2,a3,a4,a6] |
Generators |
[15626:74851:8] |
Generators of the group modulo torsion |
j |
-46699185669641238052864/251020612686449979 |
j-invariant |
L |
5.0820282631872 |
L(r)(E,1)/r! |
Ω |
0.15663444089382 |
Real period |
R |
3.244515212738 |
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 |
1887b1 120768dp1 90576v1 |
Quadratic twists by: -4 8 -3 |